{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import operator\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import pandas\n",
    "from math import *\n",
    "import datetime\n",
    "import matplotlib.dates as mdates\n",
    "from Dynamic_SEIR_model import *\n",
    "from helper_fun_epi_model import *\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2020-02-16 14:14:50Update records successfully to ../data/DXY_Chinese.csv\n",
      "Save area daily dataset (English) into ../data/DXYArea.csv\n",
      "CPU times: user 379 ms, sys: 111 ms, total: 490 ms\n",
      "Wall time: 29.1 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "## Update data from DXY\n",
    "! cd ../data_processing && python DXY_AreaData_query.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load data and clean data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Load data \n",
    "df = pd.read_csv(\"../data/DXYArea.csv\")\n",
    "\"\"\"\n",
    "Data Cleaning \n",
    "\"\"\"\n",
    "df['date'] = pd.to_datetime(df['date'])\n",
    "df = df[df['date'] != df['date'].max()] # remove todays' records (since it can be incompleted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Dataset preperation\n",
    "df['R'] = df['cured'] + df['dead']\n",
    "SIR_data = df[['date', 'Days', 'countryCode','province', 'city', 'net_confirmed', 'suspected', 'R', \n",
    "              ]].rename(columns={\"net_confirmed\": \"I\", \"suspected\": \"E\"})\n",
    "#SIR_data.tail(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>Days</th>\n",
       "      <th>countryCode</th>\n",
       "      <th>province</th>\n",
       "      <th>city</th>\n",
       "      <th>I</th>\n",
       "      <th>E</th>\n",
       "      <th>R</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6781</th>\n",
       "      <td>2020-02-13</td>\n",
       "      <td>67</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>55823</td>\n",
       "      <td>10109</td>\n",
       "      <td>8109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7126</th>\n",
       "      <td>2020-02-14</td>\n",
       "      <td>68</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>56950</td>\n",
       "      <td>8969</td>\n",
       "      <td>9625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7471</th>\n",
       "      <td>2020-02-15</td>\n",
       "      <td>69</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>57493</td>\n",
       "      <td>8229</td>\n",
       "      <td>11091</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           date  Days countryCode province city      I      E      R\n",
       "6781 2020-02-13    67          CN      NaN  NaN  55823  10109   8109\n",
       "7126 2020-02-14    68          CN      NaN  NaN  56950   8969   9625\n",
       "7471 2020-02-15    69          CN      NaN  NaN  57493   8229  11091"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# China total\n",
    "China_df = SIR_data[SIR_data['date'] > datetime.datetime(2019, 12, 7)] \n",
    "China_total = get_China_total(China_df)\n",
    "China_total.tail(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Estimate China Total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "Dynamic_SEIR1 = Train_Dynamic_SEIR(epoch = 10000, data = China_total, \n",
    "                 population = 1400000000, rateAl = 1/7, rateIR=1/14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 866087.1427113701\n",
      "The MAPE in the whole period is 0.07816483014449972\n",
      "The MAPE in the last 5 days is 0.03846519713648\n"
     ]
    }
   ],
   "source": [
    "estimation_df = Dynamic_SEIR1.train() \n",
    "est_beta = Dynamic_SEIR1.rateSI\n",
    "est_alpha = Dynamic_SEIR1.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR1.numIndividuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Time</th>\n",
       "      <th>Estimated_Susceptible</th>\n",
       "      <th>Estimated_Exposed</th>\n",
       "      <th>Estimated_Infected</th>\n",
       "      <th>Estimated_Resistant</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>68.0</td>\n",
       "      <td>1.399924e+09</td>\n",
       "      <td>7703.602429</td>\n",
       "      <td>54163.428571</td>\n",
       "      <td>13692.857143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>69.0</td>\n",
       "      <td>1.399923e+09</td>\n",
       "      <td>7067.599806</td>\n",
       "      <td>54561.928571</td>\n",
       "      <td>15197.642857</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Time  Estimated_Susceptible  Estimated_Exposed  Estimated_Infected  \\\n",
       "68  68.0           1.399924e+09        7703.602429        54163.428571   \n",
       "69  69.0           1.399923e+09        7067.599806        54561.928571   \n",
       "\n",
       "    Estimated_Resistant  \n",
       "68         13692.857143  \n",
       "69         15197.642857  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimation_df.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5NxN/cVwY/gD6xTtfOOeWB+eI2Omv4juySLQN3nLOvR4zLdLzYLPYhfFVHGPfY4eLXxr+jXNueMy00cHzTuBfMeetyB3/ZHuOzCJO6ZGLX/oXL+4tLkHnGwn0d1Htzpxzf7CrjdMVeVjPXgm+/2fwNWMuiZkd+Z15OsnVXY6/iL4ter9yvuR2MP63YG8/W37P45HXJdM2LrJMdTMrFzV9FP5iultwHAN+qAf8Z3ck37lKsiLXAZVjYilIU/CxdzWzI2PmDcB3SAY+GctNJ3zi8ZxzLrZWzT34qp4XmVk18CWm+FLzQ83s1JjlLw2eR0dNOw1/TI9yzu1WUhocq4PwN7zPixPbWBfT70GKTXbOTY6ZFjkvLY9zPtvjnBW0G70Af/N3t+MwON/cgb+e6FRAMRcrqqJZRDnnrLDf03z390fj7yb+3df828MWfN3oiOOD549iF3TOLTKzlaSmx8VIcNEXLZPxVdAuNbN+URezV+N/WEcmWNesONMiP2K7nbTNLAN/x6sd/g5aRlQs4KuSJfseK4Pn2XHmRX64cuy63cyq4Ksm/OSc+zqnZVMk8v1/EDvDOfebmX2Fr35yOL6tW7Skt3tughN9H3z12nr4NnTRor+X5sHz2wmS9YJ2XPCI9iPwl+gbCxFBldvu+Oo3x+C3RZmoRZKu9pzPYzqn9eU3tj2+a+erN61m9+/6KHxpz+fBRX2sD0kyGd1L3yV4/8gF6xX4G0dN8CVD0TdLy8d7HfG3wToz28Tu2+A/+Dvt1wXVrSbhq8POcc4lGq4j3jkkcn6ZH5uUO1+9bRO5nF8C4/A3SL42s/EE1XPdrmpkEW/jayPcb2Yt8DUqZuCTz3g31nKyx+8J/ruHPY+lVBuBTy57EvyGmB+qpws+kcq1yqGZ1cPfjFwQ75hn1/mzsD9bgXHOrTKzN/FVRC/E36wDX+2vHvCOK/hON6JPaL4Iy+xa9rzmmOby2Vuxc26+mT2Mr7o/28xewSdizYPHfPw5Npl9PKffy81m9gW+KmWkejb4qqcd8OfcGbDbeXgju6oxg2/yAFDbzO6K8/71gud45/svk4i/IOV0TRSvSUm8a6LIb3n5BJ83MqRTUr9vJY0SPIm2X/BcG39nKpHoi4xIL1yJurteRWoSvLrB8+rIBOfcTvNj8QzCnxBfCEprjgVecc4lijHeQJyRz5h98RrcIfwQX7r0Db40YTU+eUwj6GglwXvEu+u+I4l5uXUxHBl/Jpm2LTmJlPIlSlATiXz/iUoJI9Njx8nZ6eL3DLfHds9N0MvZl0EsH+MvNNfjSy4Oxv8QRn8vBbXNkjXSOXdV8KNcG3/DYSC+3c2pzrnYEo/HgRvxP3bTgjgjNyuuYNe+n4z8HNM5yW9siQa73cHu33Uy55PCkNP7jMSXwC7H31SKdDwCvs3UPglel9Q2cM5tCRKku/Dtos4IZq0Lel/tH6ckNq/nl8j8XLswd849Z2Z/4Lumv5agLZqZfQb0jdz1d743xWb4UuG/sav98CozewwYnGSityW2JkKw/t/NbCtRPT8WBufcL2b2Gn4YgOOcc3PxpXmVgYddcm1X83uezKv8nscj+3u9HJfafZnfXFRbqMCz+OTuKnYleFcFz7mOk5cPkfPN+qhS9WvZs+bL7/h28/ninLst6G3zevznM/xNlbPxbdeOJrneZ/OzH7yN/346mtnNwbF/Br5N7vMxJePVg+fzybn9frxhIQp7uK2CuCaKfN6/BI9EchwGo6RSgifRIgfVf5xz8aoM5fSa2vieE2MVeHIXlFpF7nTOjJk9An8h2xPfkDmv1WhyciE+uRvpnLsqekZwh/ZfBfAeeRW5aMzrD3qsT/FVPs4k8RiM8US+//2J//3XiVkuFW7Dl4B0j60GaGbd8QletILaZnkSlBauAu4xs/3wJcF340seATCzOvgL6K+AU2OrtQWfJy/yc0zHlYLY4ok+n8RTWOMvxi3ZDW4mXIY/77SMTbTM7LoCeXM/XMH1QQdGjYCW+IvL2/Gl0zcVxPvkIZ6XgZeDEuGT8dWirgamBZ1qLA2WWwJ0D0o5m+DPJzfi2xdtx7ejyc0+ZlY5NskLOnEpTzjjvj6JT+p64hOInvgbSIlqhcSKPk/GU1Dnyc/wJUlHmVmdJKvnR17ngCPM7ADnXE43v84KnuMNUfQOvnbCGUFHVhvxicYv7N7pW0GJ3PzIvg5wzqVkwPrgtyW2mjnBzQvwJe+5yfN+ENy4Hov/nWuHv7HcI5g9eveXZ7+uh3NuDHlTGLVZClrk8w5wzg3McclSSG3wSp7I3cREJSAJ5zvnfsdfpDcJfkyTESlKPz12hpkdRt5KG5LVF/9D/x8X1fse+Lut+J4FTzWzU/B1rxfjOwrYW4cGz6/GmbfH5y8MQXuchUBdMztmL1Y1AZ/4/MXMzshpwej2FezqNaxlnOX2w1c12Uz85C9Zkbv+ifbpvH4vkTu551iCOosxduJrxRRktekB+OpsNwc9zEUcgr87/HacBKoBvkfCePFBwR3TieQntryKdB9/fJBMxGpZAO+xNyL72ltxkrsj8ON8FRjnLXTOPYXfl3fiL/JC4Zz7wzn3jnMu0nNuRXZd8Ecvl+Wc+8o59zA+GYS8xR3vuG0ZPOfaU2Ee5fabiXPuY3wV8y5B6eqJ+H0g2bZuK/AdkR1uZvF+EyPn3Nx6O86R8723voa/trsjt+Uj5/KgfdbE4HX/zGH5qviEHeKUyAUltCPx54kr8TdD0vFtwuL1GJxvwY3em4N/4/WcnXJm1hR/I+OTJPeFnH4vK+A7ksrC30SL9nzw3COoHnwRPpGOrcoc+W3LqTSrIOV67KRYYX/eYkUJXskT6cq7foL5v+Uy/2F8FaORwQl0N2a2n5lFtxMYiy86vyX6QtXMyuC7zy6wi2Izq2Bm/8J3pb8V33lEPJHOVibgO1d5poDaWv0YPLeMiesQ/B3qsDyO385Pm1nl6BlmVsbMci31CBLFyPacYGZxB98OkuboO7cvsOv7Pyhm8XvxVSPG7M2Pe3DRsI7E++yPwXPLmFjPxTfuj13fTHyVzkz8XVFiXlcjJon9DX+uTKa9UlKC0omH8DcqoqtO/hg8/yU4hiIxVcJfUMU7Zxf0MZ1IfmLLk6Ct2L/xVZl2Gzg4qG4d29FFYfsxeD49OuEPLnwLpAqamR1uZvH2tRr4C6lUDD2TUzwtgxK5WJFS1s3Bcsea724/x+WSNDBo7xyJoRK7Ot0ZFf8l+Zbb8RPxJL5NT6Sjn3hD7sQV/P6MwnfI8UDMvnMAvhQ/i4Lp6v82fDJ5g5kNsDidj5hZHTMbiW8fF/263/FtP/vEfudmVhOfBNYFXovtxCPKc/gL/8uJ6kl4Lz9TbPxH4Ksu1gM+IcUJXuzvajCtDv73LwvfoVgyxuOPg6vMrEnMvDvwx8prLqrzMQDnh52Yha8SeiP+xsqYONc1H+CTwx5m1jHBZzmhAG72RSR77KSEc24xvo3yWWZ2S7zzlJkdERxjpY6qaJYwQeP5WfgqEmPxA11m4buGno+/Q/4zvkeoLHynJA4Y7XzvcM+Y2Qn4MW5ON7N3gmX2w7dn+gu+nv2Nwfv9YGZ34LuAnmdmE9g1Dl5FfAPk/DRwvcLMzsInLhn40oPT8FXxfgIud859nmAbfGRmC/DjNG2j4MbHeQM/pEIfMzsWfyJtgO+RajLh9dT0FH7A0C7AIvMN3VfjqyD+FV89NeHYRhHOuTHBXcTH8WNkzcVX3VmP//5PwZfIrYp6zQ9m1ht4jF3f/xr8HemT8Ptbsj9+OXkfuNjM3mBXN9AfBu1/huOrl75uZi8H8R2N781wAvG/ly749pSDzawD/k5oGnBY8LpD2NUT3fv4tlATzWwavpfA/znn9vaiYhh+EN0eZvagc+5759wK8434LwbmmNl7+GSnFb660zf4jkiiFegxnUg+Y8uPf+D329vMt+magd+XO+E7tGhbAO+RL865hWY2FX9+m2VmH+DbgbTG73ffk7h6abJOwSfjX+BLXyPtmCMlYA/u5frz6nl8tcnP8AluFv7YboEfiD1S9a490M/MZuBrTazBnx/b4Y/XZKpngu/B9Hdggfm2b+Crx9cHXnTOFXRVv/fxN6MeM7OT8YMub3F7jp01Bj8e3QH4oRPyOibj3fjSzu7A0Wb2Lr4dX0f8sXhHQXSU5ZxbGvx2vo5vx9kzOFZX4Kv3Nsb/lqYTNX6ac26JmUXGan0Qn4S8iz//H4RvV1kJ/zt4KQk451aaWfRx+r6L08txkva3XZ1npOOPtePwvc4avrTyyiTbQQLZ4xH+X9SkSHLyhPk2nuB7hY4uTR1qZpn4G4OR/bot/hqnp3MuXnXVPTjnVptZT3zVypnB72VkHLzT8fvVzQlePhp/UzIyHt4eVTCdc1nB79l7wHjzYxTPwh9T9fDbrhH+mixRm+C8eB9fVXtc8Nu8CVjlnCvo3lJzckUQx6PANcF56jf8cXo0vtfNNhRem/uiwxWBsRr02PUgGB8kyWX3GAcvmH44PuFYi/8xdkSNQYX/cZ6O/yGLjEfSImYdbfEXU5FORFbh67nfQ9R4blHLd8VfeG/BNzYeg69PnqcxxNg1RlrksQN/IlqIv/vVg5jxiBKsp3fw+n/ndfsF8+KOLUZwkYE/Kf+Jr7ZzG74kxhEzVhu7xsHbY3wZdt3d7JaH999jHLxguuF/dD/G/yD/iR9T7gXijO+Uy7ZrgO+2e26w7bcH+8EH+B+fSnFe0xp4N1h+K74XwAeIGrMr5juOu08k2ib4C9x/B/vWzthtg7/YnI4v6duAv6vbNtF2DF5TE1+K9n2w364LPvMgoELUcunBZ/lfsC32+J5z+Sxxx6QMlrk1WGZ81LSK+BLhxUFcy/DJYLVE244UHNMJ4s1TbDlt/1z25zr4Eo/Vwb48F39hnOP6cok9L+PgTcxhmcr4ZGVJsA1+xJeSVibncZ96JVjf70SN94VPugcH382v+ONpGf7C+oyY10bGC4s39liOnyX2fYNp8caP6wG8DPyAv4D7HT8mXX92H8eyKf7m0Fz8BdaWYBu9CJyQzDaJbL9gPxsafO7I+aQvkJ7MZ0zwORJuD3ybuvlBzC72O4xablQw/4687n/B6zPwJZELg/fagD9uL0iwfJ7GwYt57T74dpvv4NvAbQ/eb16wbQ9P8Loq+JtyX+DPidvwN5BeB9om+d5/Y9d5qGMOy+U2Dl70Y0vwOWbghyVqls/tUjXOumMf7WJe0wH/27om2B4rg/06T7+tUev7C7uu0bbhf1seI2r81ziv2Y9dY+59ksv6q+FvKHyFP2Y344/fN/Alq9HjvEbGwWuXj89hwJ3B8bkt9ruMt/+Sw/mQfJ7P8DcueuPPmX+w67z8Nr7d+B7XIaXhYcHGESlRgtLLrviOEOJ1uS0iIpI08z0pNgbquT2HiRARKTLUBk9KHPNjonXEj/+k5E5ERPaKmbVi15A7Su5EpEhTGzwpMcysK74NVRf8WCl3hhuRiIgUZ2bWC9+u8ip8NbR7cn6FiEj4VEVTSgwz+xTfWHkZMNQ590TIIYmISDFmZpE2gd8D/3TOvRFySCIiuVKCJyIiIiIiUkKoiqaUWLNnzz4wLS3tnaysrCMowPH4RKTEc2b2h5k9nZWV9a8TTjhha+4vERERKRqKXQlejRo1XMOGDcMOQ4qBgQMHcswxx1C3bl3S0tSfkIgkxznHtm3bWLRoEQsXLuSBBx4IOyQREZHdzJ49e41zrma8ecUuwcvMzHSzZs0KOwwpBmbPns1xxx2n5E5E8iUrK4s5c+ZQsWJFjjzyyLDDERERyWZms51zmfHm6cpXSjQldyKSX2lpaZgZ7777Llu3qpamiIgUD7r6FRERycWmTZvCDkFERCQpSvBERGSvffjhhzRu3Djfr1+yZAkZGRnZ/7do0YLnn38+z8uOHj2aNm3a5DuORIpbcwYRESm9lOCJhOTFF18kMzOTjIwM6tSpQ5s2bfj000/3er2XXXYZd95ZMGO8N2zYkPfeey/h/A8//JC0tDQyMjKoVKkSjRo1YtSoUUmv/6677qJbt24FEWqJkZGRkf1IS0ujQoUK2f+PGzcu7PASatmyJQsWLMj36w8++GA2bty415ytTnYAACAASURBVMv26NGDqVOnArBjxw7MjB9//DHfcYmIiBQ3GiZBJAQPP/wwDzzwAE899RTnnHMO5cqVY9q0abzxxhu0aNEi7PDypG7duqxYsQLnHFOnTqVt27accsopNGrUKOzQiqXoxKVhw4aMGDGCs846K+HyO3bsID1dp3IRERHxVIInUsjWr19P//79GT58OBdeeCEVK1akbNmynH/++Tz00EMAbN26lV69elG3bl3q1q1Lr169sjt5+PDDDznwwAMZOnQotWrVok6dOtmlZs888wzjxo1j8ODBZGRkcP755wPwwAMPcMghh1CpUiWOOuooXn/99d1ievbZZznyyCOz58+ZM4fu3buzbNkyzj//fDIyMhg8eHCOn8vMOPfcc9lvv/34+uuvs6ffcsst1KtXj8qVK3PCCSfwySefADBt2jTuu+8+xo8fT0ZGBscee2z29rnyyiupU6cOBxxwAHfeeSc7d+4sgC1fMtx555106tSJzp07U6lSJcaOHcvnn39O8+bNqVq1KnXq1OHmm29m+/btwK5SrKeffppDDz2UatWqcfPNN2ev7/vvv+e0006jSpUq1KhRgy5duuz2uieffDJ737n77rtZtGgRzZs3p3LlynTu3Dn7fd577z2ih7C57777qFu3LpUrV+aII47gww8/BOCLL77g+OOPp3LlytSuXZvbb78dgMWLF2O2+3CVixYtIjMzkypVqtC+fXvWrVuXcNmIESNG0LJlSwBOO+00ABo3bkxGRgavvvoqRxxxRHYJH/hjrVq1anzzzTf5+TpERESKHCV4IoXs888/Z8uWLbRv3z7hMvfeey9ffPEF8+bN46uvvuLLL79k0KBB2fNXrVrF+vXr+emnnxg5ciQ33HAD69at45prrqFr16706dOHjRs3MmnSJAAOOeQQPvnkE9avX8+AAQPo1q0bP//8MwAvv/wyd911F2PGjGHDhg28+eabVK9enRdeeIH69eszadIkNm7cSJ8+fXL8XFlZWbz55pusWbOGQw89NHv6iSeeyLx581i7di1dunShQ4cObNmyhdatW/PPf/6TTp06sXHjRr766ivAVzFNT09n8eLFzJ07l3feeYcRI0bke3uXRK+//jpdunRh/fr1dOrUifT0dB577DHWrFnDjBkzmDZtGk8//fRur5kyZQqzZ89m7ty5jB07Nrvq7R133MHf/vY31q1bx4oVK7jhhht2e927777LvHnzmDFjBvfeey/XX389L730EkuXLmXu3LlMmDBhj/gWLFjA008/zZw5c9iwYQNTp06lfv36ANx0003cfvvtbNiwgcWLF3PxxRcn/JxjxoxhzJgxrFy5Eucct956a56208cff5wdz8aNG7nooou49NJLGTt2bPYykydPpmHDhjRp0iRP6xYRESmqVK9HSoVe03oxb9W8lL5H0/2b8mjrR3Nd7rfffqNGjRo5VqsbN24cTzzxBLVq1QJgwIAB9OzZk3vuuQeAsmXL0r9/f9LT0zn33HPJyMjgv//9L82bN4+7vg4dOmT/3alTJ+6//36+/PJLLrjgAkaMGEGfPn048cQTAXZLzpKxcuVKqlatyp9//smOHTt4+OGHOe6447LnR7ex6927N4MGDeK///1vdoldtF9++YUpU6bw+++/U6FCBSpWrMitt97KM888Q8+ePfMUV1716gXzUruL0LQpPJr7LpKrFi1aZJfOVqhQIfu7A98+7ZprruGjjz7ixhtvzJ7er18/qlSpQpUqVWjZsiXz5s3jrLPOomzZsvz444/8/PPPHHDAAZx66qm7vVffvn2pVKkSxxxzDEceeSStW7fOLqk755xzmDt3Ll27dt3tNenp6WzZsoUFCxZQo0YNDjrooOx5ZcuWZdGiRfz2229Ur16dk046KeHn7NGjB0cddRQAAwcOpFmzZnlq4xlP9+7dady4MZs2baJixYq88MILdO/efa/WKSIiUpSoBE+kkFWvXp01a9awY8eOhMusXLmSBg0aZP/foEEDVq5cuds6ohPEfffdN8cOKsaMGUPTpk2pWrUqVatWZf78+axZswaA5cuXc8ghh+T789StW5fff/+dDRs2cPPNN/PBBx/sNn/IkCEceeSRVKlShapVq7J+/frs9461dOlStm/fTp06dbJj7dmzJ7/++mu+4yuJ6tWrt9v/Cxcu5G9/+xv7778/lStXpn///nts4/333z/77+j9ZejQoWzfvp3MzEyaNGnC6NGjd3td7dq1s/+uUKHCHv/H2+8aNWrE0KFD6d+/P7Vq1aJz586sWrUKgFGjRvHtt9/SqFEjmjVrxpQpU5L6nA0aNGDr1q2sXbs24fLJqFevHs2aNeO1115j7dq1vPPOO9nVUkVEREoCleBJqZBMyVphOfnkkylfvjwTJ05MWD2tbt26LF26NLvb+WXLllG3bt2k1h/bNmnp0qVcffXVvP/++5x88smUKVOGpk2bZnf7Xq9ePX744Yek1pWT8uXL8+CDD9KoUSMmTpxIu3bt+OSTTxg8eDDvv/8+jRs3Ji0tjWrVqmW/d+z669WrR/ny5VmzZk2hdxxSECVrhSV2u/Xs2ZPmzZtnt2ccMmQIkydPTmpdderUya4C+/HHH3P22Wdz2mmn7ZFE5lW3bt3o1q0b69ev5+qrr6Zfv36MGjWKRo0a8dJLL5GVlcXLL7/MRRddlN22Ltby5cuz/162bBnly5dnv/32S7h8rET7b48ePRg7diwbN27ktNNO2y35FRERKe5UgidSyKpUqcLAgQO54YYbmDhxIps3b2b79u1MnTo1u51b586dGTRoEKtXr2bNmjUMHDgw6eEEateuzZIlS7L/37RpE2ZGzZo1AV+CMn/+/Oz5V111FUOGDGH27Nk451i8eDFLly6Nu67clCtXjt69ezNw4EAA/vjjD9LT06lZsyY7duxg4MCBbNiwYbdYf/zxR7KysgCfbLRq1YrevXuzYcMGsrKy+OGHH/joo4+SjqE0+uOPP6hSpQoVK1bku+++26P9XU4mTJjATz/9BEDVqlUxM8qUKbNX8Xz33XdMnz6drVu3UqFCBSpUqEBamv+5eeGFF1izZg1paWlUqVIFM8ueF2vMmDEsXLiQTZs2MWDAADp27Jinmw5lypShevXqe+zDF154ITNnzmTYsGFceuml+f+gIiIiRZASvCLql1/g7bfh6adhxAh4/nkYNw4mTIDXX4dJk2DaNHj/ffjoI/jsM5g/H3Ko9SdFSO/evXn44YcZNGgQNWvWpF69egwbNox27doBvqfEzMxMjjnmGJo0acLxxx+f9Nh2V155Jd9++y1Vq1alXbt2HHXUUfTu3ZuTTz6Z2rVr88033+zWzqpDhw7ccccddOnShUqVKtGuXbvsanD9+vVj0KBBVK1alSFDhiT1/ldccQXLli1j0qRJnHPOObRu3ZrDDz+cBg0asM8+++xWMhRpG1i9enWOP/54wF/Ub9u2jaOOOopq1apx8cUXZ3cII/ENHTqU0aNHU6lSJXr27EmnTp2Sfu3MmTM58cQTqVixIhdeeCHDhw/P7hAlv7Zu3UqfPn2oUaMG+++/P+vWrePee+8FfGcvkR5bb7vtNsaPH0+5cuXirqd79+5069aNOnXqsHPnTh7NRzHr3XffTZcuXahatSqvvfYaABUrVqRdu3YsW7Ys+5gTEREpKSxSVaq4yMzMdLNmzQo7jAKzcycsXuw7d4h+BM1V8qxiRWjWDE4+2T+aN4caNQo25uJi9uzZnHDCCWGHISJFUP/+/Vm2bBnPP/98jsvNnj2bGTNm0LVrV6pXr144wYmIiOTCzGY75zLjzVMbvEK2fDlMmbIrkfv6a9i82c9LT4fGjeGcc3xve02bQqRDw+3bdz127Nj9/8i01ath5kz4/HN48EGfPAIcdphP9k45xT83bgx7WQNLRKTY+u233xg1ahTjx48POxQREZECpwSvEGzbBm++CSNH+mqXzkGVKj6Bu/rqXcnckUdC+fJ7916RZlqbN8OsWb7q5uefw9SpMGaMn1epkk/2rrwS2rWDsmX37j1FRIqLJ598kttuu43LL7+cU045JexwRERECpwSvBSaP98ndWPHwpo1cOCBcOedPgk77DDIQ18BebbvvnDaaf4BPqlcssQne59/Dm+9BR07wgEHQM+ePtFUR3IiUtJdd911XHfddWGHISIikjLqZKWAbdgAzzwDJ50ETZrA8OHQsqUvQfvxRxg4EA4/PLXJXTxmcMghPrkcPhx++MGXKjZuDP37Q/360LWrT/6KWbNMEREREREJKMErAM7BJ5/AZZdBnTq+RGzjRnj4YfjpJ3j5ZWjdumi1eytTBs4/31cZXbgQrrsOJk/2VTczM2HUKPjzz7Cj3HvFrRMhESk6IsN3iIiIFCdK8ApAnz6+KuSrr0KXLr4UbP58uPVWCIYeK9IaNYLHHoMVK+D//g+2boUrrvBVSvv29SWPxVF6ejrbtm0LOwwRKaY2b96sJE9ERIodJXgFoHNneO45+PlnePZZPzRBYVfBLAiVKvmSvG++genT4YwzYOhQ35Nn797wxx9hR5g3NWrU2G0QbRGRZGRlZbFx40a+//57VgVj1qSnq8m6iIgUDxoHT3K0fLlvNzhiBNStC488Ah06FI8ENisri3nz5pGVlYUVh4BFpMjIysri559/ZtmyZVSpUoUuXbpQpijVsxcRkVItp3HwlOBJUr74Aq6/HubOhbPPhmHDfGcxRV1WVhYzZsxgzpw5AEr0RCRpWVlZ1KpVi7Zt25KRkRF2OCIiItmU4EmB2LEDnnzSD/WwZYtve9ivnx+SoajbuXOn2uOJSJ6UKVOGcuXKhR2GiIjIHpTgSYFatQpuuw3GjYOGDeHxx32PnCIiIiIikno5JXjqZEXybP/9/eDt06f70ru2beGCC4pvb5siIiIiIiWFEjzJt5YtfZu8Bx+E996Do46C++7zVTlFRERERKTwKcGTvVKunG+L99130KYN3HEHtGoFv/wSdmQiIiIiIqWPEjwpEPXr+4Hen3/eD/R+/PHw2WdhRyUiIiIiUroowZMC1aOHH1KhQgU4/XTfAUsx68dHRERERKTYUoInBe7YY2HWLF9l85ZboHNn2Lgx7KhEREREREo+JXiSElWrwsSJcP/98PLL0KwZLFwYdlQiIiIiIiWbEjxJmbQ0+Mc/4J13YM0aOPFEmDAh7KhEREREREouJXiScmeeCXPmwNFHQ6dOcOutsH172FGJiIiIiJQ8SvCkUBx4IHz0Edx0Ezz6KJxxBqxcGXZUIiIiIiIlixI8KTTlyvleNceN8wOkH3+874xFREREREQKhhI8KXRdusDMmbDPPr4kb/r0sCMSERERESkZlOBJKI4+GmbM8AOkt24Nr78edkQiIiIiIsVfyhI8M9vHzL40s6/MbIGZ3R1nmfJmNt7MFpvZTDNrmKp4pOg54AD45BM47ji4+GJ47rmwIxIRERERKd5SWYK3Ffirc+5YoCnQ2syaxyxzJbDOOXco8AjwYArjkSJov/3gvffgrLPgyith8OCwIxIRERERKb5SluA5b2Pwb9ng4WIWuwAYHfz9CnCmmVmqYpKiKSMDJk3yQyj07Qt9+oCL3VNERERERCRX6alcuZmVAWYDhwLDnXMzYxY5AFgO4JzbYWbrgerAmpj1XANcA1C/fv1UhiwhKVfO9665337w0EOwdi089RSkp3QPFREREREpWVLayYpzbqdzrilwINDMzI7O53qecc5lOucya9asWbBBSpFRpgwMHw7/+heMHAkdO8KWLWFHJSIiIiJSfBRKL5rOud+B6UDrmFk/AfUAzCwdqAL8VhgxSdFkBgMH+sHQX38dzj0XNmwIOyoRERERkeIhlb1o1jSzqsHfFYCzgYUxi70J9Aj+vhj4wDm1vhK45RZ44QX4+GP4619h9eqwIxIRERERKfpSWYJXB5huZl8D/wHedc5NNrOBZtY2WGYkUN3MFgN/B/6RwnikmOnWDd54AxYsgBYt4Kefwo5IRERERKRos+JWYJaZmelmzZoVdhhSiD79FNq0gQMPhI8+glq1wo5IRERERCQ8ZjbbOZcZb16htMET2RstWsBbb8HSpdCqle9hU0RERERE9qQET4qF006DiRPhu++gdWt1vCIiIiIiEo8SPCk2WrWCl1+GuXPhvPNg06awIxIRERERKVqU4Emx0rYtjB0LM2ZA+/YaJ09EREREJJoSPCl2OnXyA6G/+64fDH379rAjEhEREREpGpTgSbF02WUwfDhMmgTdu8POnWFHJCIiIiISvvSwAxDJr+uv9+3w+vSBChV8qV6ablmIiIiISCmmBE+Ktdtv90ne3XfDvvvCsGFgFnZUIiIiIiLhUIInxd6AAT7JGzIEKlaEBx9UkiciIiIipZMSPCn2zGDwYNi8GR56yCd5AwaEHZWIiIiISOFTgiclghk88YRP8u66C6pXhxtvDDsqEREREZHCpQRPSoy0NBgxAtauhVtugXr14IILwo5KRERERKTwqM9BKVHKlIF//xsyM6FzZ5g5M+yIREREREQKjxI8KXH23dePj7f//nD++fDDD2FHJCIiIiJSOJTgSYlUqxZMneoHQG/TBtasCTsiEREREZHUU4InJVajRvDmm7BsmW+L9+efYUckIiIiIpJaSvCkRDv1VBg7Fj7/HLp3h6yssCMSEREREUkdJXhS4l18sR8E/dVX4bbbwo5GRERERCR1NEyClAq33gpLl8Ijj0CDBn4YBRERERGRkkYJnpQKZvDww7493q23Qv360L592FGJiIiIiBQsVdGUUqNMGRg3Dk46Cbp08e3yRERERERKEiV4Uqrsu6/vWfOAA/wYeYsWhR2RiIiIiEjBUYInpU7Nmn6MPNAYeSIiIiJSsijBk1LpsMNg0iRYscL3srltW9gRiYiIiIjsPSV4UmqdfDKMHAkffQQ33QTOhR2RiIiIiMjeUS+aUqp17Qrz58MDD0CTJnDjjWFHJCIiIiKSfyrBk1Lv3nt9hyu9esH774cdjYiIiIhI/inBk1IvLc0Pn3DEEdChg3rWFBEREZHiSwmeCFCpkh8+IS0N2raF9evDjkhEREREJO+U4IkEDj4YXn0VFi+GSy6BnTvDjkhEREREJG+U4IlEOf10GDYMpk2Dvn3DjkZEREREJG/Ui6ZIjJ49fc+aQ4fC0UfDZZeFHZGIiIiISHJUgicSxyOPwJln+mTvs8/CjkZEREREJDlK8ETiSE+HCROgfn1o3x6WLQs7IhERERGR3CnBE0lgv/18z5pbtsAFF8CmTWFHJCIiIiKSs5QleGZWz8ymm9m3ZrbAzG6Js0xLM1tvZvOCR/9UxSOSH0ceCS+9BF9/DT16QFZW2BGJiIiIiCSWyhK8HUBv59xRQHPgBjM7Ks5ynzjnmgaPgSmMRyRf2rSBhx7yQyjce2/Y0YiIiIiIJJayBM8597Nzbk7w9x/Ad8ABqXo/kVS69Vbo1g0GDIC33go7GhERERGR+AqlDZ6ZNQSOA2bGmX2ymX1lZlPNrHFhxCOSV2bw9NPQtCl07QqLFoUdkYiIiIjInlKe4JlZBvAq0Ms5tyFm9hyggXPuWOAJYGKCdVxjZrPMbNbq1atTG7BIAvvuC6+95nvYbN8eNm4MOyIRERERkd2lNMEzs7L45G6cc+612PnOuQ3OuY3B31OAsmZWI85yzzjnMp1zmTVr1kxlyCI5atjQd7ry3Xdw+eXgXNgRiYiIiIjskspeNA0YCXznnHs4wTL7B8thZs2CeH5LVUwiBeGss+CBB+CVV3znKyIiIiIiRUV6Ctd9KtAd+MbM5gXT/gnUB3DOPQVcDFxnZjuAP4FLnFOZiBR9t90Gs2ZBv36+XV6rVmFHJCIiIiICVtzyqczMTDdr1qywwxBh0yZo3hx++glmz4aDDgo7IhEREREpDcxstnMuM968QulFU6QkqlgRXn/dt8Nr3x42bw47IhEREREp7ZTgieyFQw+FF1+Er7+Gq69WpysiIiIiEi4leCJ7qU0buOcen+g99ljY0YiIiIhIaaYET6QA9OsH7dr5zlemTw87GhEREREprZTgiRSAtDQYPRoOOww6doRly8KOSERERERKIyV4IgWkcmWYOBG2boULL4Q//ww7IhEREREpbZTgiRSgRo1g7Fg/bMINN6jTFREREREpXErwRApY27Zw550wahSMGBF2NCIiIiJSmijBE0mBu+6CVq3gxhvhP/8JOxoRERERKS2U4ImkQJkyftiEOnXgootgzZqwIxIRERGR0kAJnkiKVK8Or7wCv/4KnTvDzp1hRyQiIiIiJZ0SPJEUysyE4cPhvfegf/+woxERERGRkk4JnkiKXXklXHUV3HcfvPFG2NGIiIiISEmmBE+kEDzxhC/Nu/RSWLQo7GhEREREpKRSgidSCPbZx7fHK1vWD4K+aVPYEYmIiIhISaQET6SQNGgA//43LFgA11yjQdBFREREpOApwRMpRGefDYMG+SEUhg0LOxoRERERKWmU4IkUsn/8A9q2hb//HWbMCDsaERERESlJlOCJFLK0NBg9Gho2hA4dYNWqsCMSERERkZJCCZ5ICKpWhddeg99/h06dYPv2sCMSERERkZJACZ5ISJo0gREj4OOPoW/fsKMRERERkZJACZ5IiLp0gZtugkcegQkTwo5GRERERIo7JXgiIRsyBE45Ba64Ar79NuxoRERERKQ4U4InErJy5eDllyEjww+CvmFD2BGJiIiISHGlBE+kCKhbF8aPh8WL4fLLNQi6iIiIiOSPEjyRIuL002HwYN+75tChYUcjIiIiIsWREjyRIuTWW/3YeH37wvTpYUcjIiIiIsWNEjyRIsQMRo6ERo38+HgrVoQdkYiIiIgUJ0rwRIqYSpV8Nc0///Sledu2hR2RiIiIiBQXSvBEiqAjjoBRo+CLL+Dvfw87GhEREREpLpTgiRRRF18Mt90Gw4fDCy+EHY2IiIiIFAdK8ESKsPvvh5YtoWdP+OqrsKMRERERkaJOCZ5IEZaeDi+9BNWq+UHQ160LOyIRERERKcqU4IkUcbVrwyuvwPLlcOmlkJUVdkQiIiIiUlQpwRMpBk4+GR55BCZPhnvvDTsaERERESmqlOCJFBPXXw/du8OAATBlStjRiIiIiEhRlLIEz8zqmdl0M/vWzBaY2S1xljEze9zMFpvZ12Z2fKriESnuzOCpp+DYY6FrV1i8OOyIRERERKSoSWUJ3g6gt3PuKKA5cIOZHRWzTBvgsOBxDfBkCuMRKfb23dcPgp6W5jtd2bQp7IhEREREpChJWYLnnPvZOTcn+PsP4DvggJjFLgDGOO8LoKqZ1UlVTCIlwUEHwb//DQsWwJVXgnNhRyQiIiIiRUWhtMEzs4bAccDMmFkHAMuj/l/BnkmgiMRo1cp3tjJ+vO98RUREREQECiHBM7MM4FWgl3NuQz7XcY2ZzTKzWatXry7YAEWKqb594aKLoE8fmD497GhEREREpChIaYJnZmXxyd0459xrcRb5CagX9f+BwbTdOOeecc5lOucya9asmZpgRYoZMxg1Cg4/HDp2hGXLwo5IRERERMKWyl40DRgJfOecezjBYm8Clwa9aTYH1jvnfk5VTCIlTaVK8PrrsG2bL83bsiXsiEREREQkTKkswTsV6A781czmBY9zzexaM7s2WGYKsARYDDwLXJ/CeERKpEaNYMwYmDXLj5WnTldERERESq/0VK3YOfcpYLks44AbUhWDSGlxwQVw550waBA0awbXXpv7a0RERESk5CmUXjRFJPXuugvatIGbb4bPPw87GhEREREJgxI8kRKiTBkYNw7q1fPt8VatCjsiERERESlsSvBESpBq1XynK+vXQ4cOvvMVERERESk9lOCJlDDHHAMjR8Knn0KvXmFHIyIiIiKFKWWdrIhIeC65BObMgYcegqZN4Zprwo5IRERERAqDSvBESqj774fWreHGG31pnoiIiIiUfErwREqoMmXgxRehYUPf6cry5WFHJCIiIiKppgRPpASrVg3eeAP+/BPatYPNm8OOSERERERSSQmeSAl35JF++IS5c+Hqq8G5sCMSERERkVRRgidSCpx/Pgwa5KtsDhkSdjQiIiIikipK8ERKiX79/Nh4ffvCtGlhRyMiIiIiqaAET6SUMINRo/w4eZdcAt9/H3ZEIiIiIlLQlOCJlCIVK8LEiVC2LFxwAaxfH3ZEIiIiIlKQlOCJlDING8Irr8DixdC1K+zcGXZEIiIiIlJQlOCJlEKnnw6PPQZvvQX9+4cdjYiIiIgUlPSwAxCRcFx3HcybB/fd59vldeoUdkQiIiIisrdUgidSSpnBsGFw6qlw+eV+nDwRERERKd6STvDMrIWZXR78XdPMDkpdWCJSGMqVg1dfherVoW1b+PnnsCMSERERkb2RVIJnZgOAvkC/YFJZYGyqghKRwlO7NkyaBOvW+Z41N28OOyIRERERya9kS/DaA22BTQDOuZVApVQFJSKFq2lTePFFmDULevSArKywIxIRERGR/Eg2wdvmnHOAAzCziqkLSUTC0LYtPPSQH0JBPWuKiIiIFE/J9qI5wcyeBqqa2dXAFcCI1IUlImH4+99h4UK4915o1Ai6dw87IhERERHJi6QSPOfcEDM7G9gANAL6O+feTWlkIlLozGD4cPjhB7jqKjjoIGjRIuyoRERERCRZyXay8qBz7l3n3O3Ouducc++a2YOpDk5ECl+5cr6aZoMG0L49LFkSdkQiIiIikqxk2+CdHWdam4IMRESKjv32g8mTYedOOO88WL8+7IhEREREJBk5Jnhmdp2ZfQM0MrOvox7/A74unBBFJAyHH+7HyFu0CDp2hB07wo5IRERERHKTWwnei8D5wJvBc+RxgnOuW4pjE5GQnXEGPPkkvPMO9OoVdjQiIiIikpscO1lxzq0H1gOdAcysFrAPNTwXnAAAIABJREFUkGFmGc65ZakPUUTCdNVV8N//wpAhcMQRcOONYUckIiIiIokk28nK+Wa2CPgf8BHwIzA1hXGJSBHywAN+nLxbboFp08KORkREREQSSbaTlUFAc+B759xBwJnAFymLSkSKlDJlYNw4aNLEt8ebPz/siEREREQknmQTvO3Oud+ANDNLc85NBzJTGJeIFDEZGTBpkn8+91z46aewIxIRERGRWMkmeL+bWQbwMTDOzB4DNqUuLBEpiurVgylTYN06n+Rt2BB2RCIiIiISLdkE7wJgM3ArMA34Ad+bpoiUMk2b+uETvv0WLrwQtm0LOyIRERERiUgqwXPObXLOZTnndjjnRgPDgNapDU1EiqpWrWDECHj/fbjySnAu7IhEREREBHIf6LyymfUzs2Fm1sq8G4ElQMfCCVFEiqIePeCee2DsWLjzzrCjERERERHIZRw84AVgHfA5cBXwT8CAds65eSmOTUSKuDvugOXL4b77fPu8a68NOyIRERGR0i23BO9g51wTADMbAfwM1HfObcltxWb2HHAe8Ktz7ug481sCb+DH1gN4zTk3MA+xi0jIzGD4cN+j5g03QN26frw8EREREQlHbm3wtkf+cM7tBFYkk9wFnif3dnqfOOeaBg8ldyLFUHo6jB8PJ5wAl1wCM2eGHZGIiIhI6ZVbgnesmW0IHn8Ax0T+NrMcO0h3zn0MrC2wSEWkyKpYESZPhjp14LzzYPHisCMSERERKZ1yTPCcc2Wcc5WDRyXnXHrU35UL4P1PNrOvzGyqmTVOtJCZXWNms8xs1urVqwvgbUWkoNWqBdOm+b9bt4Zffw03HhEREZHSKNlx8FJhDtDAOXcs8AQwMdGCzrlnnHOZzrnMmjVrFlqAIpI3hx3mS/JWrvQleZs2hR2RiIiISOkSWoLnnNvgnNsY/D0FKGtmNcKKR0QKxkknwUsvwezZvk3ejh1hRyQiIiJSeoSW4JnZ/mZmwd/Nglh+CyseESk4bdvCsGG+NO/aazUQuoiIiEhhyW2YhHwzs38DLYEaZrYCGACUBXDOPQVcDFxnZjuAP4FLnNNloEhJcd118PPPfjD0qlXhoYf8sAoiIiIikjopS/Ccc51zmT8MGJaq9xeR8N19N/z+OwwdCtWq+YHRRURERCR1UpbgiYiYwaOP+iTvzjuhShW48cawoxIREREpuZTgiUhKpaXBc8/Bhg1w002+uma3bmFHJSIiIlIyhTlMgoiUEunpvmfNv/4VLrsM3nwz7IhERERESiYleCJSKPbZByZOhBNOgI4dYfr0sCMSERERKXmU4IlIoalUCaZMgUMP9UMpfPll2BGJiIiIlCxK8ESkUFWvDu+8A7VqQZs2MH9+2BGJiIiIlBxK8ESk0NWtC+++C+XLQ6tWsGRJ2BGJiIiIlAxK8EQkFAcf7Evytm6Fs86ClSvDjkhERESk+FOCJyKhOfpomDoVVq/2JXm//RZ2RCIiIiLFmxI8EQlVs2bwxhuweLFP8tau/f/27jw+rrLu+/jnN5OkSZp0S0tbW5AiLQLKZtgE5WanVSiC94MoCCI3m3gD3ioouOKC+rgDNyIiuIAiywOyFFkqslhoWbpRoNACpUCbtumWZp/r+eM6k5w5mcnSZjpnJt/363W9zvadkytzkpP85myF7pGIiIhI8VKBJyIFd8QRcOed/oYrRx8NjY2F7pGIiIhIcVKBJyKxMGMG3HWXijwRERGRbaECT0RiY8YMfyRv4UJ/uub69YXukYiIiEhxUYEnIrHysY/BHXfA/Pn+SJ6KPBEREZH+U4EnIrHz8Y/7I3nz5+tInoiIiMhAqMATkVj6+Mf9kbwXXoBjj4UNGwrdIxEREZH4U4EnIrF1/PFw++3w/PP+SJ6KPBEREZHeqcATkVg74QT42998kacjeSIiIiK9U4EnIrE3c6Yv8p59Fo47DjZuLHSPREREROJJBZ6IFIV0kTdvnj+SpyJPREREpCcVeCJSNE48EW67zRd5Rx0Fa9cWukciIiIi8aICT0SKyic+4R+hsGABfPSjsHJloXskIiIiEh8q8ESk6Bx/PMyaBW++CR/5CCxbVugeiYiIiMSDCjwRKUr/8R/w6KP+rpqHHgqLFhW6RyIiIiKFpwJPRIrW/vvDv/7lxz/6UXjmmcL2R0RERKTQVOCJSFHbc0944gkYPRqOPNIf1RMREREZqlTgiUjR22UXX+S9970wYwbcfXeheyQiIiJSGCrwRKQkTJwIjz0Ge+8NJ58Mf/xjoXskIiIisv2pwBORklFXBw8/DIcdBp/9LFx9daF7JCIiIrJ9qcATkZJSWwv33QczZ8IXvwjf/z44V+heiYiIiGwfKvBEpORUVsLf/gannQZXXAGXXAKdnYXulYiIiEj+lRW6AyIi+VBeDjff7E/b/OUv4Y034M9/hurqQvdMREREJH90BE9ESlYiAb/4hW933+0fjr5qVaF7JSIiIpI/KvBEpORddBHcdRcsWgQHHQRLlhS6RyIiIiL5oQJPRIaEmTP9YxS2bIEPfxj++c9C90hERERk8KnAE5EhY//94emn/TPzjjkG/vSnQvdIREREZHDlrcAzsxvNbLWZLcqx3MzsV2b2qpktMLP98tUXEZG0nXeGJ5+EQw+F00+H735Xj1EQERGR0pHPI3g3Acf1snw6MDVo5wD/m8e+iIh0GT0aZs3yD0P/1rfgrLOgra3QvRIRERHZdnkr8Jxz/wLW9RKZCfzBeXOAUWY2MV/9EREJq6iAm26Cb3/bD6dPh/XrC9wpERERkW1UyGvwJgErQtNvBfN6MLNzzGyemc1raGjYLp0TkdJn5o/g3XQTPP44HHKIf16eiIiISLEqipusOOeud87VO+fqx40bV+juiEiJOeMMePBBWLkS6ut1h00REREpXoUs8FYCO4amJwfzRES2u8MP93fYHDsWjjoKfvlL3XxFREREik8hC7x7gM8Gd9M8CNjgnHungP0RkSFut918kXf88XDxxf4mLM3Nhe6ViIiISP/l8zEJtwL/BnYzs7fM7PNmdp6ZnRdE7geWAa8CvwUuyFdfRET6a8QIuOMO//iEP/9Z1+WJiIhIcTFXZOcg1dfXu3nz5hW6GyIyBNx7L3zmM/6Om7fd5k/jFBERESk0M3vWOVefbVlR3GRFRKQQPv5xmDsXxo2Do4+GX/xC1+WJiIhIvKnAExHpxbRp/rq8E06ASy6B00+HLVsK3SsRERGR7FTgiYj0obYWbr8drrwSbrkFDj1U1+WJiIhIPKnAExHph0QCrrgC/v53WLYMPvQhePjhQvdKREREJJMKPBGRAfjYx/x1eePHwzHHwOWXQ3t7oXslIiIi4qnAExEZoKlT4Zln4Kyz4Ac/gMMO0ymbIiIiEg8q8EREtsLw4XDDDXDrrbBoEeyzj39+noiIiEghqcATEdkGn/oUvPCCv9vmJz8J558Pzc2F7pWIiIgMVSrwRES20S67wOOPw1e+AtddBwccAC++WOheiYiIyFCkAk9EZBBUVMCPfwyzZsHq1VBf70/h1IPRRUREZHtSgSciMoiOPRbmz4dDDoH/+i9/CueGDYXulYiIiAwVKvBERAbZhAnw4IPwwx/6G6/suy/MmVPoXomIiMhQoAJPRCQPEgm47DJ44gl/muYhh8Cll0JLS6F7JiIiIqVMBZ6ISB4ddJA/ZfPzn/fX6O23n3+GnoiIiEg+qMATEcmzESPg+uv9DVg2bYKDD4avfQ1aWwvdMxERESk1KvBERLaTY4/1D0X/3Ofgqqv80by5cwvdKxERESklKvBERLajkSP94xPuv9/fXfPgg+Hyy3U0T0RERAaHCjwRkQKYPt0fzfvsZ+EHP/DPzXv22UL3SkRERIqdCjwRkQIZNQpuvBHuuw/WrYMDD4RvfAPa2grdMxERESlWKvBERApsxgx/NO+00+B734N99oF//rPQvRIREZFipAJPRCQGRo+Gm27yR/Oam+Hww+H002HVqkL3TERERIqJCjwRkRiZMQMWL4YrroC//hV22w2uuQY6OwvdMxERESkGKvBERGKmuhquvBIWLoT994cLL/TX5+kB6SIiItIXFXgiIjG1227wj3/AX/4Cb78NBx0E558PjY2F7pmIiIjElQo8EZEYM4NTToGXXoKLLoLf/tYXfjffDM4VunciIiISNyrwRESKwIgR8POf+2fl7bornHkmHHYYLFhQ6J6JiIhInKjAExEpInvvDU88Ab/7Hbz4Iuy7L5x9tj+FU0REREQFnohIkUkk4Kyz4JVX4OKL4Y9/hKlT4ZvfhE2bCt07ERERKSQVeCIiRWrMGPjpT2HJEjj+eH/nzalT4Te/gY6OQvdORERECkEFnohIkdtlF3+nzaefhmnT4LzzYK+94N57dSMWERGRoUYFnohIiTjgAHjsMbjrLv9g9OOPhyOO8DdmERERkaFBBZ6ISAkxgxNPhEWL4Jpr/LC+Hk47DV5/vdC9ExERkXxTgSciUoLKy+GCC+C11+DrX4c77vCnb557LrzxRqF7JyIiIvmiAk9EpISNGAHf/z4sXQrnnAM33eRvxKJCT0REpDSpwBMRGQImT4arr/ZH9NKF3q67+nGduikiIlI6VOCJiAwh4ULvvPPg5pv9ET0VeiIiIqUhrwWemR1nZi+b2atmdlmW5WeaWYOZvRC0s/PZHxER8SZPhl//WoWeiIhIqclbgWdmSeAaYDqwB3Cqme2RJfpX59w+QbshX/0REZGechV6Z50FixcXunciIiIyUPk8gncA8Kpzbplzrg34CzAzj19PRES2UrrQW7YMzj/fPzj9Ax+A6dPh4Yf1wHQREZFikc8CbxKwIjT9VjAv6mQzW2Bmt5vZjtlWZGbnmNk8M5vX0NCQj76KiAgwaRL86lewYgVceSU8/zwcfTTsuy/84Q/Q1lboHoqIiEhvCn2Tlb8DOzvn9gIeAm7OFnLOXe+cq3fO1Y8bN267dlBEZCiqq4MrrvDX4/3ud9DeDmecAVOmwI9+BI2Nhe6hiIiIZJPPAm8lED4iNzmY18U5t9Y51xpM3gB8KI/9ERGRAaqs9NfjLVoE998Pu+8Ol10GO+4IF10Ey5cXuociIiISls8Cby4w1cymmFkF8CngnnDAzCaGJk8AluSxPyIispXMuq/He/55OOkkuPZa/yy9k0/281OpQvdSRERE8lbgOec6gAuBB/GF223OucVm9l0zOyGI/beZLTaz+cB/A2fmqz8iIjI49tnHX4+3fDl8+cvw2GP+Or1p0+AnPwFdKi0iIlI45ors1mj19fVu3rx5he6GiIgEWlrgjjvgN7+Bxx+Higp/VO+88+AjH/FH/0RERGTwmNmzzrn6bMsKfZMVEREpcpWV8JnPwL/+5a/VO/dcf73eYYfBnnv6u3LqpiwiIiLbhwo8EREZNOmC7u234cYbobbW34zlPe+Bz30OnnpKz9QTERHJJxV4IiIy6KqrfUH39NPw3HP+EQu33w6HHOKv1fvOd+C11wrdSxERkdKjAk9ERPJq333huuv8Ub3f/x522skXeLvu6gu+666DdesK3UsREZHSoAJPRES2i9paOPNMeOQReOMNuOoq2LABzj8fJk70j1646y5obe1zVSIiIpKDCjwREdnudtwRLr0UFi70p3BecIG/Pu+kk3yxd/758MQTeraeiIjIQKnAExGRgjHzp3D+/Ofw1lv+7pvHHQc33+wfsTB5Mlx4IcyeDR0dhe6tiIhI/KnAExGRWCgrg+nT4ZZbYNUqPzz4YH83ziOO8Ef2zjkHHnwQ2tsL3VsREZF4UoEnIiKxU1sLp57qH6De0ODvwHnUUXDrrf4I3w47+Ov5/v53/6B1ERER8cwV2QOJ6uvr3bx58wrdDRERKYCWFnjoIV/w3XMPrF/vi8EZM+BjH/PF37hxhe6liIhIfpnZs865+qzLVOCJiEgxamvz1+bdfrs/krdqlb+m74ADfLE3Y4a/vi+hc1VERKTEqMATEZGSlkr5u3Hefz/cdx/MnQvOwYQJvtCbMQOOPhpGjCh0T0VERLadCjwRERlSVq+GWbN8sffgg/55e2Vl/s6c06fDkUfCPvvo6J6IiBQnFXgiIjJktbfDv//ti7377oPFi/38MWPg8MP9HTqPPBKmTfOneIqIiMSdCjwREZHAypX+2r1HHvFtxQo/f9Kk7mLvyCP9M/hERETiSAWeiIhIFs7Ba691F3uzZ8OaNX7Z1Km+4Dv0UDjkENh5Zx3hExGReFCBVyScc6Rcik7XSUeqg85UJymXyshY8N+FYVnnlSXKKEuUkbBE13wREemfVAoWLoRHH/UF3+OPw8aNftnEid3F3qGHwt57++v6REREtjcVeHl290t3c/fLd9Pa2UprR2uPYUtHS8a89s52X8CFCrn09GAqS5RRnijvKvqirbKsksqySoaVDesaryyrZFhyWI/x4RXDGV4+vNdhTUUNw8uHUzusloTpzgUiUvw6O2HRInjySXjiCT98802/bPhwOPDA7qLvoIN0l04REdk+eivw9NnjIFi6bikPLXuIYclhDCsbljEcWTmSHZI7dM9PDqMiWdFVZCUTST+0ZI/pZCLpj8QFR+scvhgPF+XpeYA/+hcUi+0pX0Tmam2dbT0K0HXN6/x4MC89v7m9mdbO1gG9J7UVtYwYNqKrjawc6ccrMueNqhzF6MrRjK4a3TUcVTmK2opaHYEUkYJLJv2Rur33hgsu8PNWrMgs+L73PX/kzwze/37Yf//utvfeUFlZ2O9BRESGFh3Bk37pTHXS1N5EU1tT13Bz2+as8za2buxubRszpje0bGBj60Y2tW3q9eslLemLv1DhV1dV51t17qEKQxHZ3jZuhDlz/J065871bfVqv6y8HD74wcyib489dGqniIhsG52iKbGTcik2tW6isaWR9S3raWxupLGlsecwNL52y1rWNq9lfcv6nOstT5QzpmoM44aPY1z1uO5haHxs9diu8brqOsoS+k9LRAaPc/4oX7rYmzsX5s3rvpavuto/g2+ffbqPDn7gA/6UTxERkf5QgSclpSPVQWNzI2ub13YVfeHhmi1rWNO8hoamBhq2NNDQ1EBjS2PWdRlGXXUdOwzfobtV75AxPb5mfNe4jhCKyNZIpeDVV7sLvmefhQULuos+M3/XznTBly7+Jk3SnTtFRKQnFXgy5LV3trOueV1XwRcerm5andFWNa3KeZSwsqzSF33DxzO+Zjzjh49nQs2EjOn0cFTlKBWDIpKTc/D66zB/Przwgh/Onw/Ll3dnxoyBvfaCPff0p3am27hxKvxERIYyFXgiA9TW2UZDU0NXwbe6aTWrNq/qml7VtIpVm/2woakh6x1QK5IVWQvBCTUTMufVjGfksJEqBkUEgA0b/KMa0kXfwoXw4ouwKXTpcl1dZsG3++5++J73qPATERkKVOCJ5FHKpVi7ZW1G0dc1bFrFu5vfZdVmP1zdtDprMTgsOaxfheCEmgk6TVRkCHIOVq6EJUt8sZduixdDY+gM9BEj/Kme6TZtWvf4mDGF67+IiAwuFXgiMZFyKdY1r8so+tIF4btNmfNWN63u8aB78KeJZpwSGjk9NHzKqI4MipQ25/wdO9MF35IlsHSpb6+/7pen1dX1LPymTPFt7Fgd+RMRKSYq8ESKUGeqk7XNa7uOBr67+d2uwnAgp4mmrxnsumFMdfeNY8Lzx1aP1R1FRUpIayssW+aLvVde6S78XnnFHw0MGz68u9ibMgV22SVzuqamMN+DiIhkpwJPpMSFTxMNF4G5riFs62zLup4xVWO67hg6rnpc9vHgERNjqsaQTCS383cqIoOhqckXf8uX92zLlvnlYWPHwo47wk47ZQ7T4xMn6tl+IiLbkwo8EeninGNj68asxV/4rqLp8bVb1uLouZ8wrMczB8dWje3xvMGx1WOpq6pjbPVYqsurdcqoSMw5B2vWZBZ9r7/un+335pt+uGFD5muSSX+Dl3TRN2mSn442PetPRGRwqMATka3WkepgXfO6jEdJrNnS/ZzBNVvWdD12Ys2WNazZsibr6aLgbyYztnosddV1GYVf17C6jjFVY6ir8sMxVWMYVTlKRwpFYmbjRl/ohYu+9HDFCn8KaHNzz9eNGJFZ8E2cCBMmwPjxmW3sWEgktv/3JSJSLFTgich2k3Ip1res7yoC12xZw9pm/wD68IPo0+PpB9RnO0oI/kjhqMpRXcVfugAcXTma0VWjsw7HVI1hdNVoqsqqdMRQpACc80Xg22/33dqynDGeSMAOO/Qs/MaN88VfdDhypG4SIyJDS28Fns6YF5FBlbBEVyE2rW5av17Tmepkfct61jWvY23zWtY1r/PjW9b2mLdmyxpeXvMyjS2NbGjZkLMwBH+TmdGVoxlVOSpnGzlsZOZ05UhGDhvJiGEjqKmoUYEoshXMfNE1cqR/Rl8uzvnTPVet8u3dd7vHw/NeesmPt7ZmX09ZWc/Cb8wY3+rqusejraIiP9+/iEghqcATkYJLJpLUVddRV13HVKb2+3Upl2JDywYaWxppbG7MOVzfup71LetpbGlk+frlrG/x07luNpOWsAS1FbUZRd/IymAYTNdW1PrhsNoe0+Fx3aFUpCczGDXKt9126z3rnL/5y5o10NDQ+/CFF/zzAdetg87sZ4wD/u6go0f7lu5HX23kSH+q6YgRKhBFJJ70H4eIFK2EJfxpmVWjYfTAX9/S0dJV7KXbhpYNbGzdyIbWDRnj6eGqzatYunZp17yWjpZ+fa3KskpqKmqorailpqKmq9UOC6bLu6eHlw9neMXwfg11faIMFWa+IKupgZ137t9r0qeKrluXva1d64fr1/v2xhswf74fj95IJpvKyu5iL93CBWBtre9vbW3meLZ5lZU6zVREBocKPBEZsirLKplQM4EJNRO2eh3tne1satvEptZNbGrbxMbWjWxqDYbB/I2tG9nctplNbZvY3La5q21q28Q7m9/JmNffgjH8PVSXV/dow8uH95hXVVZFVXlVxnhvw8qySqrK/bCyrFJHIaXohE8VnTJlYK/t7PTFYbr4S7eNG33bsKF7PDy9fHn39KZN0NHRv6+XSEB1tb/TaE2NH2ZrNTU+F21VVdnnV1b6ZVVV/oijikiR0qe/1iIi26A8Wd51zeFgaO9sp6m9iaa2pqzDzW2bM+Ztad/S3Tr8sKnN51Y3re5a1tTeRHN7M62dOS5i6oekJTMKvsqySqrKqhhWNozKskqGJYNhaDrbvIpkBcPKhuUcr0hW+NcG47laeaJc10hK3iST3advbovWVl/obd6cOYyONzVlb5s3++sPw/O2bIFUauB9Mcss+MLj6elhw/ww3cLT0fGKCj/sraUzFRWZTXdJFcmfvBZ4ZnYc8EsgCdzgnLsqsnwY8AfgQ8Ba4BTn3Ov57JOISJyVJ8sZlfQ3fMmHlEvR0tFCc3szzR3NbGnf0jUentfS0dLVmtubM6c7ek63drTS3NFMY0sjrR2ttHS00NrZmjHe1zWPW6M8Ue6LvWR5j/HyZHlXIRhdXpYoy5ifHu8xP5iXbuWJyHRkebglLdk9nkhmXZZMJDPGo8vS0wlLqJgtUulCZ+zYwVunc/7uo1u2+MdRbNmSuzU3Q0uLH0bHo9MbN/rplhZfmKbH020wb7yeTPYs+ioqoLy8e9if8bKy7nnh8WzL0tPp8XDLNj+ZzD4enk4mc4/rV1YKJW8FnpklgWuAo4G3gLlmdo9z7sVQ7PNAo3NuVzP7FPAj4JR89UlEZKhLWKLrlM3tLeVStHW20dbZRmtHa1fR19oRDIOCMDzenmrvek1frb2zvSvfnmrPnA7GN7dtpq2zjY5UR0amvbM967xcz3QshIQlSFqyqyjMNUxYosd4+LXR8fR0OBueF53fo5E9Y1ju16QzZlnz2ean52Wbzrast/Hoawc6b1uGQK8ZoN+vA7AqI1ll1NbBiBzr6Ws8vO70eHSZc9DZYbS2Gq0tRlur0dZmtLcbra346dZgvM1oayOYNjo6/Lz29Pw2aG/34+1twbJ2X1S2t/vxtjboaIf24LVNW/y0f22wvMOP+2YZ03Fg1rP4C7dEIvv86PJcw+i8dAtP97asr2aWfby3ZenxgQz7O97XssFo2dZZUQF77lnon6aByecRvAOAV51zywDM7C/ATCBc4M0Evh2M3w5cbWbmiu3hfCIi0qeEJbpO7WRYoXvTP845Ol1nVwGYbu2pyHSwvNN1ZszvTHVP51rW6TozxqPL0tPpXK9D10nKpehMBcNgWXo8vSw93+EyvlbKpTJeH16Hw3XNi7Zo3rnubG+vkyEqgd8H5Gs/4ACXgM5ySFVAZznmyiFV1tUslZ4uz5h2qTIslMMlsWB+93T6tUlwwTBY5sdD0y5JRypJR3S5S/iWXkd6PJXEuSTWkcB15YJhKjzuhy6VxFwCl16fS4KzjEy6da/PMuZ3LQ8vSyUBC2WH7g29ykY00L5hXKG7MSD5LPAmAStC028BB+bKOOc6zGwDUAesCYfM7BzgHICddtopX/0VERHJYGaUWZluMJMnzrmMAjBXYZien56XbTrbst7Go68d6LytGQK9ZsLvSV+vC8+LLg+vp6/xbOuJLuvtdeFt2dfru7IDyPT12oFmo/ne1tXXazOXORztQHvW5bme2ZrtmMb2zvb79S7dDJcywA+dM1KddE8DpBJdWZxlDP31o/6ocHRZdF4qFUxDUGyCc4merw36R3odofVnfK1gPenPl8Kvz7Z+gJrqCuDsfr93cVAUf7Gcc9cD1wPU19fr6J6IiEgJCJ8+KSIigyOfe9SVwI6h6cnBvKwZMysDRuJvtiIiIiIiIiIDlM8Cby4w1cymmFkF8CngnkjmHuCMYPyTwKO6/k5ERERERGTr5O0UzeCauguBB/GPSbjRObfYzL4LzHPO3QP8Dvijmb0KrMMXgSIiIiIiIrIV8noNnnPufuAR0QAdAAAU5klEQVT+yLxvhsZbgP/MZx9ERERERESGCl3VLCIiIiIiUiJU4ImIiIiIiJQIFXgiIiIiIiIlQgWeiIiIiIhIiVCBJyIiIiIiUiJU4ImIiIiIiJQIFXgiIiIiIiIlQgWeiIiIiIhIiVCBJyIiIiIiUiLMOVfoPgyImTUAbxS6H1mMBdYoW3TZuPRDWWWVVVbZ+Gfj0g9llVU2ntnt6b3OuXFZlzjn1AahAfOULb5sXPqhrLLKKqts/LNx6Yeyyiobz2xcmk7RFBERERERKREq8EREREREREqECrzBc72yRZmNSz+UVVZZZZWNfzYu/VBWWWXjmY2ForvJioiIiIiIiGSnI3giIiIiIiIlQgWeiIiIiIhIiVCBJyIiIiIiUiJU4ImIDBFmtl8e1jnCzD5kZqPzsO6x/ciMNrMR/ciNN7P9gjZ+K/pSM9DX9LG+MQPInjDY6zWzXc3sZDPbI8uyUf39ekG+LDReY2b1vfXDzMaZ2b5mtldf76u2W49cUWy3ID9mIO9XMcrHPjVYr/arW6HQv5+xUugH8RVrA8pC4zVAPTCml/w4YF9gL6Cml5wBBwInBe1AgpvhDKBv788xvzzLvLE5sgkgEYxXAPv19v1FXntBP3M1wXpHZVlWEf6+gcOB/wGmZ8nuNcD3Z6f01wR2Bj4JfKCXfD3wCeCEXO9tXLadttvAt1uQHR98T/sB4wfSr/R7MoDswsj0jsBfgMeBr4e3NfD/oj8fwAPAfcD7gJuA9cAzwO6R7H6R9iHgLfx+aL9I9qzQ+GTgkWC9TwHTItk/pX/2gGOBN4GHgTeA/4xk1wE3AEf29bsATAeWA08EfVwMvBb0+chI9j3AH4ANQGfQhzeBb0d/V4B9gDnAkqCfDwMvBfP2661PkfW8GZn+YLCOFfg7rI0OLXsmkj0k+PqL8fuFh4LvbQVwcCR7UqSdDLybno5krwiN7wG8EryHrwMHRrKzQ9vt9CB7A7AQ+GIk2xG8T58ny+95JHsmsDZY33RgWfDzswI4NZLdI1jvq0Ab8HTQ35uAkdpuJbHddsLvzxqApcFrVgfzdh7Adlu4tVlisE8N8tqvlvjvZ5xbwTtQjI387RiPCXIPBL+8NwCzgnnHDKB/0V+Yw4Nf5jXAPwjtZIHnsrz+RGAV8A4wM+jzI8E6jo9kvxRp/xN8nS8BX4pkrw2NHxrsOGYH79uMSHZ++hcb+Ap+h3hF8Av8w0i2E/+H5Epgjz7em8uC9/8l4Oxg+LtgBxHt72HAvGD7NQL3Ak8C/wR2jNu203bbqu2Wrz9S0T8m4T8qDZHsQ8B5QV9+HbxndcGy5yPZfwHHA6fi//B/Cv/BwvHAI5FsKljX7FBrDoaPRrLPhcZvA87Bf1jwiSzrXRgafyr9MwmMBeZHsi8DFwbv/0rgl8BBOd7DF4DdgYPx+9eDgvm70/Nn/VHgP0Lv9c+B4cD3gOuzrLfHH2XgoCz9jf5ehH8/1kWyTwDHAaOALwc/i+/Lsd2ewf/jcjD+9+zQYP5+wJORbHvwM3sj8PugbQqGN/ay3e4j+CAFOAB4KpJdFBqfG/oZqwYWRLcx8HHgz8G2uDv4WavK8j4uDLb9FGBj6D0Yn2W9c4DdQn28ORj/L+B2bbeS2G7/Bk4BkqF5yaAfcyLZgewni2qfmmU7a79agr+fcW4F70AxNvK3Y1xClk+4gq+zJDLvVznar4GNkexcYM9g/JP4f6rTv+TPZ/l6zwMTQt9fuv/vBeZFspuAvwLfBL4VtMb0eCQb/qWZTfAPNLBLlvWG/6jNI/gDBZRleY+fBz4AfB9fUM3HFwTZ3svFQBVQF/R9XDB/ePhrhtabXj4FuCsYPxr4R9y2nbbbVm23fP2Rasd/iPP7LG1TtA+R6dOC7/d99PwD/Hxo/NVc2ymYPhl4jNDRU2B59HvNso2j/Yn+nC0GRgTjTxAcMU4v62W9OwFfBZ7Dfyj2g16yK/p4j6Lb5tnQ+EuRZUuzfc853sMW/AcO38rS1vfRh8MJfj/72G7R/UE0uz/+g5nzB7jdeuwPsvxeTArGZwOVwXiyj+1WBfwf4E78P4i35No2wNuRZdHf+eh7Fv460fdF2630ttvSyPRA9pNFtU/N8j5pv1qCv59xbl3nX8uAdDrn1gBrzGyzc+41AOfcKjOLZquccy8Hy58xs+uC8d+a2Zci2TL80ZaolUB5ZN7n8P9YtmbJnxqZrnDOLQ6+7u1mtgS408wuBVy2b9A59y6Amb0Z6v8bZha9bnNP4Kf4f7S/45zbYmZnOOe+k229ISOcc88F612WZb0bzewDzrlF+E9mKvGflJXR89pRF+QuBy43swPwn8I9EfT/w6Fsp3Ou2czagvWtDVbQlGXbJZ1zDcH4m/hCCefcQ2b2i0g2FttO2w0Y2HYb7px7OroC59wcMxsemf0D4Cf406Ciot/bAuD/Bt9fBjM7KjKr3MwqnXMtwdf+k5m9CzyI3z4Z31to/GeRZRWR7+EOM3sQuNLMzsL/zGX9fQcmm9mv8J9cjzOzcudce7p/kex3gNlmdg3+E+S/mdk9+D/Es6Lfbqg/bwI/Bn5sZu/Hf8oftt7MzgVGAI1mdgn+U++jgM2RbIOZnYb/h/ck/KkzmP9hiG6LB8zsPvypRyuCeTsCn83S3+fwp3A9G5mPmZ2dZd5I59yG4PubbWYnA3cA0es1wn36WmRZdLvNNbOjgS+a2Wwg534a2CV47w2/Daudc1uCZdHtdgnwDzO7A//P5KPBz8eh+H+SM761UH+a8dvhNjMbiT9TIOxNM/shUAu8ZGY/xRcVR+HPJgh7zcy+gT9ScBL+AxbMrBxtt1LZbs+a2bXAzWRutzPwxWrYQPaTxbZPBe1X00r59zO+Cl1hFmMD7gF+CFyN3+H9FH8u8LeAByPZO4FvBMt/SnAoGP9D8nIk+zX8DvBS4NNBuzSY97VI9lHgwzn6tzwyPQ+YEJk3Gb+T3pTl9c/TfR3XAaH5SSJHS0LLZuJ3Sp8EluXIbMHvpBfij8KkT+VLRNeLv1ZxPn7n8Qf8edW/D76XT0f7m+PrGXBYZN5NwC34U1duBf4IfAZ/ut9tkeyNwfzP4I92/SyYX03PT7MKvu203bZqu/0KfwrGKcCHg3ZKMO/qSPYp4EM5+hz9ZPQjwE45svWR6Uui328wf1/goci8c8lyvR+wK/CLbF8vWL4f/o92Q47lZ0RaehtPIPKJcDB/KvAj4C7g78D/Asdmyf0sV5+yZHcEfgNcF3zdS4BFwbaIXguzE/6flEX4a1cmBvPrgJOzrHt6sN6/B+06IqcXB7ndyH1d8vjI9KfJclpU0LffRuadAFRnyb4P+Gov78l7gu8z1+/mYZFWk+4r8IUs+ZHA+fhTr36N30f1uD4V+PIAttsI/P7vMvz1uSfjT4W6Jr1dQtlR+H9G78Ufua8N9SvbezmQ7TYuRttt0lDdbvh/rM/H/5O/MGizgAuAYZHsQPaTRbVPDTLar7rS36/GtVnQaRmA4M5CX8BX/1fjzxc+E3+04Ern3Duh7Cj8Rb574P/xvco5tyn4RG1359ycyLp3x//TPSmYtRK4xzn3YiQ3Bmhx3Z8q9Nbfo/A7ofmR+SOBC51z34/M3x9/PnhLZP7O+HOc/5Tj6wzHX4x7oHPuo1mWvzcy623nXHtwR6ePOufujOST+GvbptF9hOxB59z6SO7TzrlbsvUpSx/KgP/Eb7vb8afNfhq/7a5xzjWFsuX4U2nT2+5G51ynmVUBOzjn3oisew/8Dqcg207brSs70O02g+zb7f5Ibjf8qZgNRJjZeOfcqv58L4USfApb65zbWOi+iIgUO+1TJdYKXWGqqamplVrDF7bn4j+5XhC0B/AX/kfvRhan7AN5ym5LH87dlj70sZ2uVzaeWfyZB+fir935cGTZFb1kDynhbBzeh776UI2/Juwr+FP0z8Cf9fRjIkfKsmTP7CUbp/1kn9lIXvvVIZgtdNMRvK0QHD35Gv6c9h3wRxVW408fu8qFjlSEsjPxh3dzZvv4mg8456YXMhuXfsQxGxzV/Rr+9Mn7nXO3hpZd65y7IEf2ARc6ilUi2a/jj4YVw/swAX9qdQp/w5kv4q89eAm4yGUejc+WPRl/g51o9lb87bBvpvvazMn4f3bGOOdOUXa7ZaPXbXQtwl/QP1nZWGZvwBcAz+AfD/CYc+5LwbLnnHP7KRvL7G34a7Kq8KfmLcGfKn8C/nKD07cyG4d9Sb+zcemH9qv5zcaZCrytYP4i20fxd8RM39RiAv7TpyOcc8f0I3sG/hkk4WzXTjL6JYF7nXMT852NSz+KMHsH/k5Pc4Cz8Hf8+rRzrjXLH0Bl45Odhb8WYTj+lM8/46/1OxE4yjk3cyuzrzjnppFFdJmyec924m9/Hr4bjwumJznnKpSNZXaBc26vYLwMuBZ/9+pT8bfb31fZWGZfcM7tY2aGv1nLROecC6bnp9ezFdk47Ev6nY1LP7RfzW821lwMDiMWWyNyc5Telg0w24kvBmdnac3bIxuXfhRhNnq74cvxNy+po+ftepWNTzZ8m+Xos+xy3ta6H9k5+GsGw7e6TuBv4PK0sts1u5TcN2eI3hxH2fhkX8qS+Sb+dzl6u31l45MNP34h+nyx6C3wB5KNw76k39m49COP2TjsIwqejXMreAeKseEfOP1VQnf/wZ9+eSnw8DZkFwFTc3zN6A9gXrJx6UcRZpeEd4rBvDPxt7V+Q9nYZueHxr8XWZbzWVD9yO6MP9WoAXglaA3BvCnKbtfsF4C9c/wef1HZ2Gb/BByXJXc20K5sbLM3kP2ulO8DntiG7M4Ufl/S72xc+pHHbBz2EQXPxrkVvAPF2IDR+FvZvgSsC9qSYN6Ybch+kuDh1Fm+5onbIxuXfhRh9sf40/SiuePo+QmnsvHJfpfct8i+fWuzkeV1QF2u5cpuv6yamlrhGvjLgrY1G4d9yUD3O3Hoh/arQ6sVvANqampqQ6ERg7t6KausssoqW5hsXPqhbP63cxxa9Mn0spXM7N5SzcalH8oqW8xZoF5ZZZVVVtkhm41LP5TNbzYWVOANnkl9R4o2G5d+KKtsMWdXK6usssoqO2SzcemHsvnNxoIKvMHzfAln49IPZZUt2qxz7jhllVVWWWWHZjYu/VA2v9nYKPQ5ompqampDqRGDawSUVVZZZYspCySBc4ErgUMiy66IWzYu/VA2/9s5rq3gHSjGBowAfgj8Ef8A5fCya4s5G5d+KKtskWfH5Gh1wFvKKqusssoOKHsDcAtwMfAs8LPQsujzTQuejUs/lM3/do5rs6DDMgBmdgf+QYhzgLOAdvw/fK1m9pxzbr9izcalH8oqW+TZTuANwOjmgulJzrkKZZVVVlll+51d4JzbKxgvA64FxgKnAnOcc/vGKRuXfiib32ysDValOJQa8EJk+nLgSfynTtFPAooqG5d+KKtskWeXAjtFf7eCZSuUVVZZZZUdUPalLJlv4ffB0eebFjwbl34om//tHNdW8A4UY8M/qDwRmXcmsBh4o5izcemHssoWefYLwN7R361g2ReVVVZZZZUdUPZPwHFZcmcD7XHLxqUfyuZ/O8e16RTNrWBmPwb+4Zx7ODL/OODXzrmpxZqNSz+UVbaYs8H89wMz6X6UwkrgHufcEiKUVVZZZZUtrWxc+qFsfrNxpcckbAXn3Fej/+QF82cBPyjmbFz6oayyxZw1s68Cf8FfS/JM0Ay41cwuU1ZZZZVVtnSzcemHsvnNxpqLwWHEUmrAm6WajUs/lFU27lngFaA8S66Cnuf7K6usssoqW0LZuPRD2fxv57i2MmTAzGxBrkXA+GLOxqUfyipbzFkgBbwHf4e4sInBMmWVVVZZZUs3G5d+KJvfbGypwNs644FjgcbIfAOeKvJsXPqhrLLFnL0YeMTMlgIrgnk7AbsCFyqrrLLKKlvS2bj0Q9n8ZmNLBd7WuReocc69EF1gZv8s8mxc+qGsskWbdc7NMrNpwAFkXqQ91znXqayyyiqrbOlm49IPZfObjTPdRVNERERERKRE6C6aIiIiIiIiJUIFnoiIiIiISIlQgSciIiXDzHY0s9lm9qKZLTazi0LLxpjZQ2a2NBiODuZ/xswWmNlCM3vKzPYOveY4M3vZzF61HM9AMrObzGy5mc03s1fM7A9mNrkffb3YzKoH4/sWERFJU4EnIiKlpAP4H+fcHsBBwBfMbI9g2WXAI865qcAjwTTAcuAw59wHgSuB6wHMLAlcA0wH9gBODa0r6ivOub2B3YDngUfNrKKPvl4MqMATEZFBpQJPRERKhnPuHefcc8H4JmAJ3XdCmwncHIzfDJwY5J5yzqUffzEHSB99OwB41Tm3zDnXBvwlWEdvX985534OvIsvDDGz/zWzecERxe8E8/4b/6yl2WY2O5h3jJn928yeM7O/mVnNtr0bIiIyFKnAExGRkmRmOwP7Ak8Hs8Y7594Jxt+l5wPqAT4PPBCMT6L7OUgAb9FdLPblOeD9wfjlzrl6YC/gMDPbyzn3K+Bt4HDn3OFmNha4AjjKObcfMA/4Uj+/loiISBc9B09EREpOcPTrDuBi59zG6HLnnDMzF3nN4fgC79DB6EJo/P+Y2Tn4v7kT8ad7LojkDwrmP2lmABXAvwehHyIiMsSowBMRkZJiZuX44u7Pzrk7Q4tWmdlE59w7ZjYRWB16zV7ADcB059zaYPZKYMfQ6ycH8/pjX+ARM5sCfBnY3znXaGY3AZXZug085Jw7tZ/rFxERyUqnaIqISMkwf/jrd8AS59zPIovvAc4Ixs8A7g5esxNwJ3C6c+6VUH4uMNXMpgQ3TPlUsI5ev35wfd1EYBYwAmgCNpjZeILr8gKbgNpgfA5wiJntGqxnuJlN6/93LiIi4qnAExGRUnIIcDpwhJm9ELQZwbKrgKPNbClwVDAN8E2gDrg2yM8DcM51ABcCD+Jv1nKbc25xjq/7EzObD7wC7I+/tq7NOTcff1fNl4BbgCdDr7kemGVms51zDcCZwK1mtgB/eub7ERERGSBzzvWdEhERERERkdjTETwREREREZESoQJPRERERESkRKjAExERERERKREq8EREREREREqECjwREREREZESoQJPRERERESkRKjAExERERERKREq8ERERERERErE/we1Am2mRJc2CwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Dynamic_SEIR1.plot_fitted_beta_R0(China_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Dynamic_SEIR1.plot_fitted_result(China_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## use the last observation as the initial point in the new SEIR model\n",
    "\n",
    "# I is the net confirmed cases (total confirmed case - heal - died)\n",
    "I0 = list(China_total['I'])[-1]\n",
    "R0 = list(China_total['R'])[-1]\n",
    "# suppose the total number of individuals within incubation period is 4 time of current suscepted cases\n",
    "E0 = list(China_total['E'])[-1] *5\n",
    "S0 = population - I0 - E0 - E0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  60101\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seir_new = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b, past_days = China_total['Days'].max())\n",
    "result = seir_new.run(death_rate = 0.2) # assume death rate is 0.2\n",
    "seir_new.plot_noSuscep('Dynamic SEIR for China total', 'population', 'Date', starting_point = China_total['date'].max())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Estimate Ex-Hubei"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 1484531.8752915447\n",
      "The MAPE in the whole period is nan\n",
      "The MAPE in the last 5 days is 0.10938293728422596\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  9778\n"
     ]
    },
    {
     "data": {
      "image/png": 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sLsLp+vhDnM/YgY7DDpyk4I+ecT+c6ne/V9X3fWznlyLyrmfek3F+VNmH8954COdhjKaXEdXDagNmjDGmE3iqDG3FaYCZ2PyXQ2OMMaarszYZxhjTNV2AU9XgX5ZgGGOM6W7sToYxxnQhInIHTl3ma3Gq+oxW1Wz/RmWMMcYcHksyjDGmCxERxekZ6Bvgvzw90xhjjDHdiiUZxhhjjDHGmHZ1wN6lMjIy+rlcrntV9TpVDaeTH2BkjDHGmEOiLpdrk9vtPvW4447L9XcwxhhzwCQjICDgo9DQ0EkpKSkhffv2RcRyDGOMMaarcbvdsmvXrlEbNmzISU9P93c4xpheIiMjo1BV43xNO2B1qYyMjMaJEye6XC7rhMoYY4zpytxuN2vWrGHHjh3MnTuXfv36+TskY0wP53mwpM9fNg6WPViCYYwxxnQDLpcLESEnJ4f169f7OxxjTC9nGYQxxhjTgwQFBbFv3z5/h2GM6eV6RZKxZ88eTjzxRMLDw7n11lv9FsfSpUsZNGiQ37Zv2sc999zDpZde6u8wzGFYtGgRJ5xwgr/D6FFEhK1bt/o7jB7vSI6ziOB2uzsoImOMOTTdOslITU3lo48+Ouh8CxcuJDY2lrKyMh5++OEj3t6VV17JXXfddcTL91apqakEBwcTFhZGQkICV155JRUVFf4OyxyB5ueyabjhhhv8HZZpg6/vSEu4jk7TZyA8PJzIyEimT5/Ok08+2S4X9bNmzeKpp55qhyiNMcb/unWScaiysrIYPXq09Y7lR2+//TYVFRVkZmaydu1a/vCHP/g7JHOEms5l0/DYY4/5OyRjOtXbb79NeXk5WVlZ3HHHHTzwwANcffXV/g7LGGO6lB6RZDT9MnfbbbcRFRXFkCFDePfddwHn7sOzzz7Lgw8+SFhYGB999BFut5s//vGPDB06lJiYGC688MIW9Vc/++wzpk+fTmRkJMnJySxatIiFCxfywgsveNdz9tlnA5CXl8f5559PXFwcQ4YM4W9/+5t3PdXV1Vx55ZVERUUxevRoVq1a1bkHpgtKSEjgtNNOIzMzE4Da2lpuu+02UlJSGDBgAD//+c+prq4Gvq9e9uCDDxIfH09iYiJvvPEG77zzDiNGjCA6Opr777/fu+7a2lrmz59PUlISSUlJzJ8/n9raWgBGjRrFkiVLvPM2NDQQFxfHmjVrAFixYoX3nI8fP56lS5d6592xYwczZ84kPDycU045hcLCwo4+TN3OL37xC84//3zv37fffjsnnXQSquo9j/fffz+xsbGkpqbywgsveOctLS3l8ssvJy4ujsGDB3Pfffd5fxXeunUrM2fOpH///sTGxvKTn/zEu9ymTZs45ZRTiI6O5phjjmHx4sXeaUVFRcydO5eIiAgmT57Mtm3bOuEodD8H+v766quvmDZtGpGRkSQmJnLDDTdQV1fnx2i7nv79+zN37lz+/e9/8+yzz7Jhw4YDfqcVFxczZ84c4uLiiIqKYs6cOeTmOo+0uPPOO1m+fDk33HDDfncIP/roI4YPH05kZCS//OUvsYfoGmO6BVVtc1i9erV2ZYMHD9YPP/xQn3nmGe3Tp48uXLhQGxoa9PHHH9fExER1u92qqnrFFVfonXfe6V3ukUce0SlTpmhOTo7W1NTotddeqxdddJGqqu7cuVPDwsL0xRdf1Lq6Oi0sLNS1a9f6XE9jY6NOmjRJFyxYoLW1tbpt2zYdMmSIvvfee6qqevvtt+sJJ5ygRUVFmp2drWPGjNGBAwd21uHpMprOk6pqTk6Ojh07Vm+88UZVVZ0/f76effbZWlRUpGVlZTpnzhy94447VFX1k08+0YCAAF2wYIHW1dXpwoULNTY2Vi+++GItKyvTDRs2aFBQkG7fvl1VVX/729/qlClTdM+ePbp3716dNm2a3nXXXaqqumDBAp03b543piVLlujIkSNVVTU3N1ejo6P1f//3f7WxsVE/+OADjY6O1r1796qq6tSpU/Xmm2/WmpoaXbZsmYaFhekll1zSOQevi2l+LpurrKzU4cOH6zPPPKOffvqpxsTEaE5Ojqp+fx6bjuHSpUs1JCREN23apKqql112mc6dO1fLysp0x44dOnz4cH3qqadUVfWiiy7S++67TxsbG7W6ulqXL1+uqqoVFRU6aNAgffrpp7W+vl7XrFmjMTExunHjRlVV/clPfqI//vGPtaKiQtevX69JSUk6Y8aMzjhEXYqv8/XMM8/ojBkzDvr9tXr1av3yyy+1vr5ed+zYoSNHjtS//OUv3vUA+t1333Xq/nQFbX0GkpOT9fHHHz/gd1phYaG++uqrWllZqWVlZXrBBRfoOeec413HzJkz9Z///GeL9QJ61llnaXFxsWZlZWlsbKy+++67bca3evVqffzxxw84jzHGtBdgtbaRRxzwYXz7mT8fPL9Ad5gJE+CRRw57scGDB3PNNdcAcMUVV3D99dezZ88eEhIS9pv3ySef5LHHHvM2wr7nnntISUnhueee48UXX+Tkk0/m4osvBiAmJoaYmBif21y1ahUFBQX87ne/AyAtLY1rrrmGl19+mdNOO43Fixfz+OOPEx0dTXR0NDfeeCO///3vD3vfjsTnjZ9TpEUduo0YiWFGwIxDmvfcc89FRKioqOCHP/whCxYsQFVZuHAhX3/9NdHR0QD85je/Yd68ed7qVIGBgdx5550EBARw0UUXce2113LTTTcRHh7OmDFjGD16NOvWrWPIkCG88MILPProo8THxwNw9913c91113Hvvfcyb948Jk6cSFVVFSEhIbz44ovec/z8889z5plncuaZZwJwyimnkJ6ezjvvvMPs2bNZtWoVH330Ef369ePEE0/03sXqFBnzobiDP3NRE+C4Q//MnXvuufTp8/1Xx0MPPcQ111zDc889xxlnnEF4eDiPPvrofp0c3HvvvfTr14+ZM2dy1llnsXjxYn7zm9/w8ssvk5mZSXh4uLdzhueee46rr76awMBAsrKyyMvLY9CgQd62BEuWLCE1NZWf/vSnAEycOJHzzz+fV155hbvuuovXXnuN9evXExoaytixY7niiiv49NNP2+FgHdj89+aTubtjz9eEhAk8cvqRn6+6ujomTZp00O+v4447zrtMamoq1113HcuWLWP+/PnttzOH4L333mP37t0duo2EhAROP/30o1pHUlIS+/btO+B3WkxMTIs7fnfeeSezZ88+6LrvuOMOIiMjiYyMZPbs2WRmZh51vMYY09EOL8nowponEyEhIQBtNi7OysrivPPOo/kzQAICAtizZw85OTkMHTr0kLbZdPETGRnpLWtsbOQHP/gB4FRFSE5O9k4bPHjwoe9QD/PGG29w8skns2zZMubNm0dhYSF1dXVUVVW1uJhRVRobG71/x8TEEBAQAEBwcDAAAwYM8E4PDg72nue8vLwWx3jw4MHk5eUBMGzYMEaNGsXbb7/N2WefzVtvvcXatWsB5zy+8sorvP32295l6+vrmT17Nnl5eURFRREaGtpivTk5Oe12bLqbpnPZ2pQpU0hLS2Pv3r1ceOGFLab5OoZ5eXkUFhZSX1+/33nbtWsXAA8++CC//e1vmTx5MlFRUdx6661cddVVZGVlsXLlyhafvYaGBi677DIKCgpoaGiwz55H6/O1aNEinnrqqYN+f23ZsoVbbrmF1atXU1VVRUNDQ4vPqmlp165dNDQ0HPA7raqqiptvvpn33nuP4uJiAMrLy2lsbPR+z/nS+v836zjDGNMdHF6ScQR3GLqi5ORknn76aWbM2P9X+OTkZL766iufy7VuOJ6cnMyQIUP47rvvfM6fmJhITk4OY8aMASA7O/soIz90h3qHobPNnDmTK6+8kttuu43//Oc/BAcHs3HjRgYOHHjU605KSiIrK6vF8U5KSvJOv/jii3nppZdwu92MHj2aYcOGAc55vOyyy/jnP/+53zqzsrIoLi6msrLSe5GcnZ3deZ0IHMYdBn/7+9//Tm1tLUlJSTz44IP8+te/9k7zdQzHjh1LbGys927F6NGjvdOa3g8JCQne8/LZZ59x8sknc+KJJ5KcnMzMmTP58MMP94ujsbGRPn36kJOTw8iRI73r7AyHc4fB3w72/fWLX/yCiRMn8tJLLxEeHs4jjzzCq6++2slR0i1+sV+1ahW7du3i3HPP5YEHHmjzO+3hhx9m8+bNrFy5koSEBDIzM5k4caK3jYV1TmKM6Ul6RMPvw/Xzn/+cO++8k6ysLAAKCgp48803Abjkkkv46KOPWLx4MQ0NDRQVFXkbKQ8YMIDt27d71zN58mTCw8N54IEHqK6uprGxkQ0bNngbeF944YX84Q9/oLi4mNzcXB599NFO3tOuaf78+Xz44YesX7+ea665hptvvpm9e/cCzq+B77///hGt9+KLL+a+++6joKCAwsJCfv/737d4nsVFF13EBx98wBNPPMG8efO85Zdeeilvv/0277//Po2NjdTU1LB06VJyc3MZPHgw6enp3H333dTV1fHZZ5+1uONhHFu2bOGuu+7i+eef57nnnuPBBx/0fm6aNB3D5cuXs2TJEn784x8TEBDAhRdeyJ133untrefPf/6z97y98sor3oaxUVFRiAgul4s5c+awZcsWnnvuOerr66mvr2fVqlV8++23BAQE8KMf/Yh77rmHqqoqvvnmG5599tlOPyZd3cG+v8rLy4mIiCAsLIxNmzbxxBNP+DnirqesrIwlS5Zw0UUXcemllzJ+/PgDfqeVl5cTHBxMZGQk+/btY8GCBS3W1/r/GGOM6c56ZZJx0003MXfuXE499VTCw8OZOnUqK1euBCAlJYV33nmHhx9+mOjoaCZMmMC6desAuPrqq/nmm2+IjIzk3HPPJSAggCVLlpCZmcmQIUOIjY3lZz/7GaWlpYBzUTV48GCGDBnCqaeeymWXXea3fe5K4uLiuPzyy/n973/PAw88wLBhw5g6dSoRERGcfPLJbN68+YjWe9ddd5Gens6xxx7LuHHjmDRpUovnmiQmJjJt2jS++OKLFr0UJScn8+abb3L//fcTFxdHcnIyDz30kLeHoxdffJGVK1cSHR3NggULuPzyy4/uAHRzZ599dovnZJx33nlceuml3H777YwfP57hw4dz//33c9lll3l790pISCAqKoqkpCQuueQSnnzySe9dhkcffZTQ0FDS0tI44YQTmDdvHldddRXg/EI8ZcoUwsLCmDt3Ln/9619JS0sjPDycDz74gJdffpmkpCQSEhK4/fbbvdt77LHHqKio8D6Xpanthvnewb6//vSnP/Hiiy8SHh7ONddc0+Iz09udffbZhIeHk5yczH//939zyy238MwzzwAc8Dtt/vz5VFdXExsby9SpU/e7S3PTTTfx6quvEhUVxY033tjp+2WM6Z5UlTqto0zL2KN7yHJnscm9id3ase3ZDkb0AF3hZWRkqNXBNcYcjaVLl3LppZd670gYYzpORkYGX331FUOGDOkWVc2MMb41aAPVTf/UGVdRRbVWU+P51/x1I437rWOMjOGEgI59+KqIZKhquq9pPabhtzHGGGOMMV1VozY6iQLVVGnV/q/Vm1ZQT73PdQQSSDDBBBFEqIQSQ4zztwR5y4PFMya4k/ewJUsyjDHGGGOMOUL1Wk+V51+lVrYYV1FFlTrJRC21PpdvSgiCJZh44gkiiBAJcco85U3/+kj3uXTvPpEaY7qlWbNmWVUpY4wx3Y6qUkMNlVRSoRVUUkmlVtL0r0qrqKSSOur2WzaAAEIIIZRQoiSKgQz0Jg4hhBAiIYQQQhBBBEjbXVh3Z5ZkGGOMMcaYXkVVqaWWCiqo0ArvuHkiUUEFbtwtlnPhcpIEQoiUSJJIIlRCvQlFiDjjvvTt9d1SHyzJULfbLc0fWmeMMcaYrudAHbkY09s0aiOVVFKu5VRQsV8yUUEFDTS0WCaAAEI9/+IlniEMIUzCnBJxyoMJxiV2XXwoDphkuFyuvVVVVQPCwsI6Kx5jjDHGHIG6ujpLNEyv4Va3k0RQTrl6Br4fV1KJ0vLzEEwwYYQRJVEkk0yYhBFGGOESThhhBBHU6+8+tKcDJhlut/vm77777unhw4cHhYSEYHc0jDHGmK7H7Xazc+dOiouLcbvd9O3b16+XSCoAACAASURBVN8hGXPU6rSOMsoo0zLvuJxy77h1EhFKKOGEkyiJhBPuTR7CJZxQQrtVo+me4IBH+7jjjnvp888/77thw4bH+/TpE2LZnTHGGNM11dTUkJ+fT21tLYMHD/Z3OMYckhqtoYQSyrSMUi1tkVTUUNNi3iCCCCecOIkjjTQiJKJFMtFTG1B3Vwd8GF+TuXPnJgA3A3GA3Ys1poNUVlZedc455/g7DGNMNzZr1iyOPfZYf4dhjFet1lJKKaVa6h2XaRmllLbo1lUQwggjQiKIIKLFOJxw+kk/P+6F8eVAD+M7pCQDYO7cuQKEAFZnypgOkp+fX7Zs2TJ/h2GM6ab69etHQID9mms6n1vdVFBBiZZQQokz9ryuprrFvGGE0V/605/+LcbhhNvdiG6mXZIMY0zHS09P19WrV/s7DGOMMcanRm2khBKKtZhiLfYmFKWU0kijd75+9COSSCLFGZoSiQgirG1ED3KgJMPOsjHGGGOMaaF1MrGPfd5koqnBtSCEE06kRDKIQd6EIpJIgiXYz3tg/M2SDGOMMcaYXkpVKaOMfbqPIorYp/so1uL9kon+9CdSIkkjjSiJIkqiiCTSqjeZNlmSYYwxxhjTC9RoDfvY5yQU6iQU+9jX4qF0/elPlERZMmGOmiUZptcSkWTgX8AAnF7TFqrqX0UkGvg3kArsBC5U1WJx+nD+K3AmUAVcqaprPOu6ArjLs+r7VPVZT/lxwCIgGHgHuEmtIZQxxpgOpKpUUEGhFjoDhRRpEZVUeufpRz9iJIaRjCRGYoiWaKKIIlAC/Ri56UksyTC9WQNwq6quEZFwIENEPgSuBD5W1T+KyB3AHcDtwBnAcM8wBXgCmOJJSu4G0nGSlQwReUtViz3zXAOsxEkyTgfe7cR9NMYY04O51U0JJRSqk0g0JRRNXcM2VXVKlEQnmSCaGIkhhBB7urXpUJZkmF5LVfOBfM/rchH5FhgInAPM8sz2LLAUJ8k4B/iX507EChGJFJFEz7wfquo+AE+icrqILAUiVHWFp/xfwLlYkmGMMeYIqCollFCgBd6hiCJvdacAAogmmiEyhFiJJVZiiSba7k4Yv7AkwxhARFKBiTh3HAZ4EhCA3TjVqcBJQHKaLZbrKTtQea6P8tbbvha4FiAlJeXodsQYY0yPoKqUU06BFrBX91JIIQVaQD31APShD7HEMkpGESuxxEiMtZ0wXYolGabXE5Ew4DVgvqqWNb99rKoqIh3ahkJVFwILwXlORkduyxhjTNdUq7Xs1b3sYQ97dS8FWkANNQC4cBFLLMNlOPEST5zEEUkkLrHnI5uuy5IM06uJSCBOgvGCqv7HU7xHRBJVNd9THWqvp3wXkNxs8UGesl18X72qqXypp3yQj/mNMcb0Ym51U0wxe3QPe9RJKkooAZw2FFFEkSqpxEkccRJHNNF2h8J0O5ZkmF7L01vU/wDfquqfm016C7gC+KNn/Gaz8htE5GWcht+lnkTkfeB+EYnyzHcq8GtV3SciZSIyFaca1uXAox2+Y8YYY7qUWq1lj+4hX/PZy94W1Z6CCCJe4hkuwxnAAOIkjr7S188RG3P0LMkwvdkM4DJgvYhkesp+g5NcLBaRq4Es4ELPtHdwuq/ditOF7U8BPMnEvcAqz3y/b2oEDlzP913Yvos1+jbGmB6vQivYrbvJ13x262724fyXIAgxxDBCRhAv8QyQAUQQYb08mR5JrMt+Y7qO9PR0Xb16tb/DMMYYc4hUlWKKWyQVFVQAEEggA2QACZJAAgnES7z19GR6FBHJUNV0X9PsToYxxhhjzCFSVfaxj3zNZ5fuIl/zvc+kCCGEBEngWDmWBEkghhhrnG16LUsyjDHGGGPa0HSnIk/zyNM88jXf2+tTOOGkSiqJkkiiJBJOuFV9MsbDkgxjjDHGGA9VpYwydukuduku8jTPm1SEEUaKpJAkSSRJEuES7udojem6LMkwxhhjTK9WozXs0l3kai67dBfllAMQSijJkvx9UmF3Kow5ZJZkGGOMMaZXadRGdutucjWXXM2lkEIA+tKXJEniWDmWQTKI/vS3pMKYI2RJhjHGGGN6NFWllFJyNIdszWa37qaBBly4iCeedFc6A2Ug8cRbQ21j2oklGcYYY4zpcRq0gTzNI1uzydEcyigDIJJIRspIBspAkiTJHnxnTAexJMMYY4wxPUKpfn+3Ik/zaKSRPvTxVoFKlmQiJMLfYRrTK1iSYYwxxphuya1udrObLHcWWZpFKaUA9Kc/o2QUKZJCoiTSR+xyx5jOZp86Y4wxxnQbdVpHruayU3eSrdnUUosLF0mSxFgZS7Ik01/6+ztMY3o9SzKMMcYY06VVaiVZmsVO3cku3YUbN/3oR4qkkCqpDJJB1rbCmC7GkgxjjDHGdDnFWswO3cFO904KKAAgggjGylgGuwaTQIL1BGVMF2ZJhjHGGGP8TlUpppjt7u1s1+0UUwxAPPFMdk0mVVKJJNKeW2FMN2FJhjHGGGP8QlUpoojt7u3s0B2UUAJAIonMcM1giAwhVEL9HKUx5khYkmGMMcaYTqOqFFLovWNRRhmCkCRJjJNxpEoqIRLi7zCNMUfJkgxjjDHGdLhiLeY793ds022UUebtEWqCTCBVUgmWYH+HaIxpR5ZkGGOMMaZDlGs523QbW91bKaIIQRgoA5koE0mVVIIkyN8hGmM6iCUZxhhjjGk31VrNNt3GNvc2drMbcBpvz3DNIE3SrCqUMb2EJRnGGGOMOSr1Ws8O3cFW3Uqu5qIoUURxvOt4hskwIiTC3yEaYzqZJRnGGGOMOWyqSj75bHFvYbtup556wghjvIxnmGsYMRLj7xCNMX5kSYYxxhhjDlmZlrHFvYUtuoVyygkkkDRJY4RrBIkk2nMsjDGAJRnGGGOMOYg6rWO7bmeLewv55AMwUAaSLukMkSEESqCfIzTGdDWWZBhjjDFmP03VoTa5N7FDd9BAA/3pz/Gu4xkhIwiTMH+HaIzpwizJMMYYY4xXtVazRbewyb2JEkroS19GyAhGuEYQT7xVhzLGHBJLMowxxpheTlXJ0zy+1W/ZoTtw42YAA5jlmkWapFl1KGPMYbMkwxhjjOmlqrSKLbqFb93fUkYZ/ejHaBnNKNcooiXa3+EZY7oxSzKMMcaYXkRV2aW7+Ea/IUuzcOMmkUTSXU4j7j5ilwbGmKNn3yTGGGNML1CndWzRLWx0b6SEEoIIYqyMZaRrJFES5e/wjDE9jCUZxhhjTA9WrMVsdG9ki26hnnriiGO2azZpkmZ3LYwxHca+XYwxxpgexq1usjWbDbqBXboLFy6GylDGusYSL/H+Ds8Y0wtYkmGMMcb0ENVazWbdzEb3RiqoIJRQjncdzygZRbAE+zs8Y0wvYkmGMcYY082VaAlfu79mi26hkUaSJInpMp3BMhiXuPwdnjGmF7IkwxhjjOmGmp7I/bX7a7I0iwACGC7DGecaZ93PGmP8zpIMY4wxphtp1Ea263a+dn9NIYUEEcQkmcQY1xhCJMTf4RljDGBJhjHGGNMt1Gotm3QTG9wbqKCCSCL5gesHjJAR1kuUMcbLrW7Ka8sRESL6RfgtDvtWMsYYY7qwCq3ga/fXbNJN1FNPkiRxgpxAiqQgIv4OzxjTAVSViroK9lXv228orimmuLqY4ppiSmpK9vu7pKYEt7q5ZeotPHzaw37bB0syjDHGmC6oVEvJdGeyRbegKENlKMe6jiVO4vwdmjHmMNQ31lNUXURhVSFFVZ5xdVHL19VF+yUTDe6GNtcZ6AokKjiKqKAoooKjiA+NZ0TMCO/fUUFRTB44uRP3cn+WZBhjjDFdSJEWsda9lu26HRcuRspIJrgmEC7h/g7NmF5PVSmvK6egsoCCqgIKqwq9r1uUef4uqi6irLaszfWFBIYQExxDTEgMMcExjIsfR3RwNFFBUUQHR+83RAU75cF9grv8nUxLMowxxpguYLfuZq17LdmaTSCBjJfxjHONs8bcxnSwRncjBVUF7KnYw57KPeyt3Osdmv+9p8J5XdtY63M9QX2CiAuJIy40jriQOIZHDyc2JJbYkFhvItH8dUxwDMGBPff5NZZkGGOMMX6iquRqLmvda8knnyCCON51PGNkDP2kn7/DM6bbarrjkF+eT35FPrsrdrc5FFQV4Fb3fusIdAUyIGwA8aHxxIfGMzpuNANCBxAXEkd8aDxxoXHEhsR6E4vQwNAuf3ehM1mSYYwxxnQyVWWn7mSNew2FFBJKKNNd0xkpIwmUQH+HZ0yXVlFXwa6yXeRX5JNXnkdeeR755fnkVTR7XZ5HZX3lfssGugJJCEsgISyBlP4pTB442ft3fGg8A0IHeBOL/v36W9JwFCzJMMYYYzqJqpKlWWS4MyikkAgimOmayXAZToAE+Ds8Y/xKVSmuKSa3LJfcslx2le36/nX5969La0v3WzYkMISk8CSSwpOYlDiJOSPmkBSeRGJYIonhid5EIiooyhKHTmJJhjHGGNPBVJVszWa1e7U3uZjlmsVwGY5LXP4Oz5hOUV1fTU5ZDtml2eSUOuPs0mxvWXZpNtUN1S2WEYSEsAQGRQxiRMwIZqfOZlDEIAZGDPQmFYlhiUT0i7DkoYuxJMMYY4zpIKpKjuaw2r2aAgoIJ9zuXJgeq6y2jJ0lO9lZspOskizndanzd3ZpNoVVhS3mb0ogUvqncOyAYzlr+FkMihhEcv9kBoYPZFDEIBLCEggMsCqE3ZElGcYYY0w7a0ouMtwZ7GUvYYRZcmG6ver6anaW7GR78Xa2F29nR8kOb1Kxs2QnxTXFLeYP7hNMamQqgyMHc3zS8aT0TyGlfwrJEcmk9E9hYMRA+gb09dPemI5mSYYxxhjTjnLduax2r2YPewgjjB+4fsAxcowlF6bLU1X2VO7xJhHbi7ezrXib93VeeV6L+UMCQ0iNTCU1MpVpg6Z5XzcNsSGxVoWpF7MkwxhjjGkHBVrASvdKdukuQgm15MJ0SarK3sq9fLfvO7bu28p3Rd95X2/dt5XyuvIW8w+KGERaVBqnDj2VtMg00qK+H+JD4y2JMG2yJMMYY4w5CiVawir3KrbrdoIIYpprGmNkjCUXxq/Ka8vZXLSZzYWbnXHRZr4r+m6/RCJAAhgSNYTh0cM5IeUEhkcPJy0qjaHRQ0mNTCWoT5Af98J0Z5ZkGGOMMUegUivJcGewSTcRQACTZBLjXePpK1bH3HQOt7rJKslic9FmNhVuapFQNK/a5BIXQyKHMCJmhDeRGBY9jOExwxncf7A1rDYdwpIMY4wx5jDUai2Z7kw26AbcuBkto5nkmkSIhPg7NNNDNbgb2F68nW8KvmkxbCrc1KLL16igKI6JPYZT0k5hZOxIjok5hmNij2Fo1FD69bEnyJvOZUmGMcYYcwgatIENuoFMdya11DJMhnG863giJMLfoZkeotHdyNZ9W9mwdwMbCzZ6k4nNRZupa6zzzpfSP4XRcaOZnTqbUXGjOCbmGEbGjrSG1qZLsSTDGGOMOQBV5Tv9jq/cX1FJJcmSzGTXZGIl1t+hmW6qqRen9XvWs36vZ9izno0FG6lpqAGcZ0ikRqYyJn4MZww7g9FxoxkdN5qRsSMJ7xfu5z0w5uAsyTDGGGPakK/5fNH4BYUUEkccP3T9kCRXkr/DMt1IbUMt3xR8Q+buTDJ3Z3qTiuYPpksIS2Bc/DiuT7+ecQPGMTZ+LKNiRxHaN9SPkRtzdCzJMMYYY1op0zJWuFewQ3cQSiizXbMZLsOtKoo5oOLqYtbtWedNKDJ3Z/JNwTfUu+sBCA0MZWz8WM495lzGDRjHuPhxjBswjtgQuytmeh5LMowxxhiPWq1ljXsNG3QDLlyku9I5Vo4lUKz3HdPSnoo9ZORnsDpvNWt3r2Vt/lqySrO80xPDEpmQMIEzh5/JxISJTEiYwNDoobjE5ceojek8lmQYY4zp9dzq5lv9ltXu1dRQwwgZwWTXZELFqqsY2Fu5l4w8J6HIyM8gIz+D3LJcwGk7MSJmBNOSp3H98dczIWEC4weMZ0DYAD9HbYx/WZJhjDGmV8t2Z7PCvYJiikkkkWkB04iTOH+HZfyktKaUVXmrWJm7ktX5q8nIyyCnLAf4PqGYOXgmxyUeR3pSOhMSJlhDbGN8sCTDGGNMr1SqpXzh/oJszSaCCE51nUqqpFq7i16kwd3Ahr0bWJm7khW7VrAydyWbCjehKID3KdjpSekcl3gcExMnEtHPuiw25lBYkmGMMaZXqdd6Mt2ZZGomAQQw1TWVsTKWAAnwd2img+WV5/FlzpesyF3Byl0rycjPoKq+CoDYkFimDJzCxWMvZsqgKRyfdDxRwVF+jtiY7suSDGOMMb2CqrJTd/KF+wsqqGCYDGOqa6q1u+ihGt2NbCzYyOfZn/N5jjPsLNkJQN+AvkxMmMjPJv6MKYOmMHXQVIZEDrG7WMa0I0syTK8lIk8Dc4C9qjrWU3YPcA1Q4JntN6r6jmfar4GrgUbgRlV931N+OvBXIAB4SlX/6CkfArwMxAAZwGWq+v0jW40xnaZES/jc/Tm5mks00ZwdcDZJYs+76Ekq6ypZuWulN6n4MvdLymrLAOc5FDOSZ3Dj5BuZnjydCQkT6Nenn58jNqZnsyTD9GaLgMeAf7Uq/4uq/ql5gYiMBi4CxgBJwEciMsIz+e/AKUAusEpE3lLVb4AHPOt6WUSexElQnuionTHG7K9e61njXsPX+jV96MN013TGyBjrRrQHKKkpYXnWcj7N+pRlWctYk7+GRm1EEMbEj+HisRczI3kGM1Jm2F0KY/zAkgzTa6nqpyKSeoiznwO8rKq1wA4R2QpM9kzbqqrbAUTkZeAcEfkW+CEwzzPPs8A9WJJhTKdQVbbrdr50f0kllYyQEUxxTSFEQvwdmjlChVWFLM9azrKsZSzLWsa63etQlL4BfZkycAp3nHAHM5JnMC15GpFBkf4O15hez5IMY/Z3g4hcDqwGblXVYmAgsKLZPLmeMoCcVuVTcKpIlahqg4/5jTEdqFRLWe5ezi7dRSyxnBxwMgmS4O+wzGEqrCrkkx2fsHTnUpZlLWNjwUYAgvsEMy15GvfMuoeZg2cyZdAUgvoE+TlaY0xrlmQY09ITwL2AesYPA1d15AZF5FrgWoCUlJSO3JQxPVqjNrJO17HGvYYAAjjBdQKjZJRVjeomKuoqWJ61nI93fMxH2z9i3Z51AIQGhjIjZQbzxs1j5uCZHD/wePoG9PVztMaYg7Ekw5hmVHVP02sR+SewxPPnLiC52ayDPGW0UV4ERIpIH8/djObzt97mQmAhQHp6urbDbhjT6+RrPssbl1NMMWmSxnTXdOs1qoura6xjZe5KPt7xMR/v+JgVuStocDfQN6Av05Onc+/sezlpyEmkJ6UTGBDo73CNMYfJkgxjmhGRRFXN9/x5HrDB8/ot4EUR+TNOw+/hwFeAAMM9PUntwmkcPk9VVUQ+AS7A6WHqCuDNztsTY3qHWq1lpXsl3+q3hBHG6a7TGewa7O+wjA+qyuaizby39T0+2PYBn2Z9SmV9JYJwXNJx3DrtVk4achIzUmYQEmhtZ4zp7izJML2WiLwEzAJiRSQXuBuYJSITcKpL7QSuA1DVjSKyGPgGaAB+qaqNnvXcALyP04Xt06q60bOJ24GXReQ+YC3wP520a8b0eKrKNt3GF+4vqKGGY+VY0l3pBIr94t2VlNaU8vGOj3l/6/u8t+09skuzARgRM4Irxl/BSWknMSt1FtHB0X6O1BjT3kTVamcY01Wkp6fr6tWr/R2GMV1amZbxmfszcjSHWGKZGTCTWIn1d1gGcKubtflreW/re7y/7X2+yPmCRm0kvG84J6WdxOlDT+e0YaeRGpnq71CNMe1ARDJUNd3XNLuTYYwxpltwq5v1up7VbicRt2dedA2lNaW8v+19lmxZwntb36OgynmW6aTESfy/Gf+P04edzrRB06xdhTG9jCUZxhhjurx9uo+ljUspoIDBMpgTXCcQJmH+DqvX+q7oO5ZsWcLbW95mefZyGtwNRAdHc/qw0zlj2BmcknYKA8IG+DtMY4wfWZJhjDGmy2rqljbDnUFf+nKy62TSJM2e3tzJ6hvr+Tznc97e/DZLvlvClqItAIyJG8Nt025jzog5TB00lQBXgJ8jNcZ0FZZkGGOM6ZKKtIiljUsppJChMpQZrhkES7C/w+o1ymvLeee7d3hj8xu8+927lNaW0jegL7NTZ/Oryb/irOFnMSRqiL/DNMZ0UZZkGGOM6VIatZG17rWs1bX0ox+nuE4hzZXm77B6hb2Ve3lr81u8vul1Ptr+EXWNdcSFxHH+qPOZM2IOpww9hbC+Vk3NGHNwlmQYY4zpMgq0gKWNS9nHPobJMGa4ZhAkQf4Oq0fLKsni9U2v8/qm1/ks+zPc6iY1MpVfHv9LfjTqR0wbNM2qQRljDpslGcYYY/yuURvJcGeQqZkEE8xprtNIdaX6O6wea3PhZl755hVe3/Q6a/LXADA2fix3/eAuzht1HuMHjLd2L8aYo2JJhjHGGL8q0AI+afyEYooZISOY7ppOP+nn77B6nK37tvLvDf9m8TeL+XrP1wBMGzSNB09+kPNGncew6GF+jtAY05NYkmGMMcYv3Opmra5ljXsNwQRzhusMUlwp/g6rR9levJ1XNr7Cvzf+m7W71wIwPXk6fz39r5w/6nwGRgz0c4TGmJ7KkgxjjDGdrlRL+b/G/2MvexkmwzjBdYLdvWgn2aXZLN64mMUbF7MqbxUAUwZO4c+n/pkLRl9Acv9kP0dojOkNLMkwxhjTaVSVb/VbvnR/SQABnOQ6iWEuq6ZztAqrClm8cTEvrH+BL3K+ACA9KZ2HTnmIC0ZfQGpkqn8DNMb0OpZkGGOM6RSVWsky9zJyNIdBMohZrlmESqi/w+q2quureWvzW7yw/gXe3fouDe4GxsaP5Q8n/YELx1xIWpR1+2uM8R9LMowxxnS47e7tLHcvp556ZrhmMEbGWO9FR6DR3cjSnUt5fv3zvPbNa5TXlTMwfCA3T72ZS4+9lGMHHOvvEI0xBrAkwxhjTAeq1Vq+cH/BFt1CHHHMDphNlET5O6xuJ3N3Js9//TwvbXiJvPI8IvpF8OPRP+aSYy9h5uCZ9hwLY0yXY0mGMcaYDpGneXzS+AmVVDJJJjHJNYkAsYvhQ1VUVcQL61/g6bVPs27POvq4+nDm8DO5dNylzBkxh+DAYH+HaIwxbbIkwxhjTLtqerDeWl1LBBGcE3AOA2SAv8PqFhrdjXyw7QOeznyaNze9Sb27nkmJk3j0jEe5aOxFxIbE+jtEY4w5JJZkGGOMaTflWs7HjR+zhz0cI8cwwzWDQAn0d1hd3paiLSzKXMSz654lrzyP2JBYfnn8L/npxJ9aOwtjTLdkSYYxxph2sc29jU/dnwJY17SHoKKugsUbF/NM5jN8lv0ZLnFx5vAzefSMR5kzYg59A/r6O0RjjDlilmQYY4w5KvVazxfuL9ikm4gnnpMCTiJCIvwdVpe1bvc6/pHxD57/+nnK68o5JuYYHjj5AS479jISwxP9HZ4xxrQLSzKMMcYcsSIt4qPGjyihhIkykeNcx1njbh+q6qtYvHEx/8j4BytyVxDUJ4gLx1zItZOuZXrydOvO1xjT41iSYYwx5rCpKht1IyvcK+hHP85yncUg1yB/h9XlbNy7kX9k/IPnvn6OkpoSRsaO5C+n/YXLx19OdHC0v8MzxpgOY0mGMcaYw1Kt1SxzLyNLs0iRFGa5ZhEs1p1qk5qGGl775jWezHiSz7I/o29AX84fdT4/T/85P0j5gd21MMb0CpZkGGOMOWR5msfHjR9TQw3TXdMZK2PtotkjpzSHJ1Y/wcKMhRRVFzEsehgPnvwgV064krjQOH+HZ4wxncqSDGOMMQelqqzTdXzl/ooIIjgj4AxixZ7ZoKosz17Oo189yuvfvo6inD3ibH55/C85Ke0kXOLyd4jGGOMXlmQYY4w5oBqt4RP3J2RrNmmSxkzXTPpK7+5etbq+mhfXv8ijXz3Kuj3riAqK4pZpt3D98deTGpnq7/CMMcbvLMkwxhjTpr26lw8bP6SKKma4ZjBGxvTq6lHZpdk8vupx/rnmn+yr3se4+HEsnLOQS469hJDAEH+HZ4wxXYYlGcYYY/bT1HvUl+4vCSGEcwLOIV7i/R2WX6gqX+R8wZ9X/Jk3Nr0BwLkjz+VXk3/FzMEze3XSZYwxbbEkwxhjTAt1Wscy9zK263ZSJIXZrtkESZC/w+p0je5G3tj0Bn/68k+syF1BVFAU/zX9v/hF+i8YHDnY3+EZY0yXZkmGMcYYryIt4oPGDyinnCmuKYyX8b3ul/rKukqeyXyGv6z4C9uLt5MWlcZjZzzGlROuJLRvqL/DM8aYbsGSDGOMMagqm3Uzn7k/ox/9mBMwhyRJ8ndYnWp3xW4e++oxHl/1/9m77/CoqvyP4+8zk0oKqYTem1KkNwGR3ovYfjZk7a5lbbvqumtZRdRV1y52sHcB6VUBCRBAeu81pPc69/z+OKl0QpKbmXxfz3OeuXNncu93dn3IfHLauyRlJ9Gjfg9eHvgyY1uPxemQXcyFEOJCSMgQQohqLl/ns8xaxk69k3qqHgMcA6rV5npb47by6h+v8sWmL8hz5TG29Vge7fUovRr0srs0IYRwWxIyhBCiGkvTacx3zSeeeDqpTnR2dK42eztEH45m0rJJzNw5E38vf27veDsP9XyI5mHN7S5NCCHcnoQM4TGUUk4gihL/XWutD9pXkRBV22HrMIusRVhYDHEMobGjsd0lVTitNYv2LWLSskks2b+EcP9wnu33LPd2vZeIGrK5oBBClBcJGcIjKKXuB54GYgGr4LQG2ttWlBBVVMndu0MIYbBzMCEqxO6yKpSlLWbsmMGkZZNYc3QNdYPq8trg17ij8x0E+gTaXZ4QQngcCRnCUzwItNJaNtiXYAAAIABJREFUJ9hdiBBVWZ7OY6m1lL16b7XYvTvfyuebzd/w4vIX2Rq3laahTflg5Afcctkt+Hr52l2eEEJ4LAkZwlMcAlLsLkKIqixFpzDfNZ8kkjx+edrs/Gym/jmVl1a8xL7kfbSJbMOXV33JtW2uxcshv/qEEKKiyb+0wlPsBZYqpWYBOYUntdav2VeSEFXHAesAi63FKBTDHcOp76hvd0kVIjs/m4/WfcSLy1/kaNpRutXrxv+G/o+RLUdWmwntQghRFUjIEJ7iYEHzKWhCCMz8i3V6HTFWDBFEMNg5mCAVZHdZ5S4nP6coXBxJO0Kfhn2YNnYa/Zv099jeGiGEqMokZAiPoLV+FkApFVjwPN3eioSwX67OZbG1mAP6AC1VS/o4+uClPOuf/Zz8HD5e/zEvLn+Rw6mH6d2wN9PGTePKxldKuBBCCBt51m8bUW0ppdoCnwNhBc/jgVu01ltsLUwIm6ToFOa55pFMMpc7LqeNauNRX7pz8nP49M9PmbRsEodSD9GrQS8+HfMpA5oM8KjPKYQQ7kpChvAUHwAPa62XACil+gEfArJlr6h2jlhHWGAtAGCEYwT1HPVsrqj85Lpy+XT9p7yw7AUOpR6iZ/2efDz6YwY2HSjhQgghqhAJGcJTBBQGDACt9VKlVICdBQlR2bTWbNFb+MP6gxBCGOIcQk1V0+6yykW+lc/nGz7n2d+e5UDKAbrX686Hoz5kcLPBEi6EEKIKkpAhPMVepdS/MEOmAG7CrDglRLXg0i5WWCvYprfRSDWiv6O/R+x/obXm5+0/88/F/2R7/Ha61O3C+yPfZ0izIRIuhBCiCpOQITzFX4BngZ8Kni8rOCeEx8vSWSxwLeAYx+igOtDV0dUjlmtdtHcRTyx6gjVH19A6ojU/XPMDV11ylYQLIYRwAxIyhEfQWicBD9hdhxCVLUEnMM81j0wy6e/oTwtHC7tLumhrjqzhiUVPsGjfIhoEN+Dj0R9zy2W3yCZ6QgjhRuRfbOHWlFL/01r/TSk1E9Anv661Hm1DWUJUin3WPhZbi/HBh9HO0dRStewu6aJsi9vGU0ue4qdtPxFRI4LXh7zO3V3uxs/Lz+7ShBBCXCAJGcLdFc7B+K+tVQhRibTWrNfrWWOtoRa1GOwcTIAbr3NwKOUQTy99mqkbplLDuwbPXPEMD/V8iGDfYLtLE0IIUUYSMoRb01qvLTjsoLV+o+RrSqkHgd8qvyohKk6+zuc36zd26900V825wnGF226wl5qTyuTlk3k9+nUsbfFg9wd5ovcTRAZE2l2aEEKIi+Sev5mEONUE4I2Tzt16mnNCuK0sncV813yOc5yujq50VB3dchJ0niuPD9d9yDNLnyEuM46b2t/E81c+T6OQRnaXJoQQopxIyBBuTSn1f8ANQBOl1IwSLwUBifZUJUT5S9JJzHXNJYMMBjoG0szRzO6SLpjWml93/srfF/6d7fHbuaLRFfx38H/pUreL3aUJIYQoZxIyhLv7AzgGRACvljifBmy0pSIhytlh6zALrAU4cTLKOYooFWV3SRds7dG1PLrgUZbuX0qr8FZMv346o1qOcsueGCGEEOcmIUO4Na31AeAA0NPuWoSoCNusbSy3llOTmgxzDiNIBdld0gU5lHKIJxc/yRcbvyCiRgTvDH+HOzrdgbfT2+7ShBBCVCAJGcIjKKV6AG8BlwA+gBPI0FrL8jTCLWmtWWWtYoPeQH1Vn4GOgfgqX7vLOm/puem8uOxFXot+Da01j1/+OI/3fpyafjXtLk0IIUQlkJAhPMXbwPXA90AX4Bagpa0VCVFGeTqPJdYS9ul9XKou5XLH5W6zg7elLb7c+CX/WPgPjqUf48Z2NzJpwCQa1mxod2lCCCEqkYQM4TG01ruVUk6ttQv4VCm1HnjC7rqEuBAZOoN5rnnEEUcvRy/aqrZuM29hzZE1PDD3AaIPR9O1bld+uu4netTvYXdZQgghbCAhQ3iKTKWUD/CnUuplzGRw9/jTrxAFEnQCc11zySabIY4hNHY0truk83I8/ThPLnqST//8lKiAKD4d8ym3XHaL2/S+CCGEKH8SMoSnuBkzD+M+4CGgATDe1oqEuACHrcPMt+bjgw9jnGOIUBF2l3ROua5c3lz1Js/99hzZ+dk81usxnur7lOzULYQQQkKG8AwFq0wBZAHP2lmLEBdqh7WD363fCSGEYc5hBKpAu0s6p9m7ZvPQvIfYmbCTES1G8NqQ12gZLtOghBBCGBIyhFtTSm0C9Jle11q3r8RyhLggWmvW6XXEWDHUU/UY7BiMj/Kxu6yz2p24mwfnPsjsXbNpGd6S2TfMZliLYXaXJYQQooqRkCHc3Ui7CxCiLFzaxTJrGTv0DlqqlvR19MWpnHaXdUZZeVm8tOIlJi+fjI/Th/8O+i/3d78fH2fVDkVCCCHsISFDuLUSw6SEcBu5OpcF1gIO68N0Up3o4uhSpVeQmrNrDvfNuY+9SXv5v7b/x6uDX6VOUB27yxJCCFGFydIfwiMopdKUUqkFLVsp5VJKpZ7jZz5RSp1QSm0ucS5MKbVAKbWr4DG04LxSSr2plNqtlNqolOpU4mcmFLx/l1JqQonznZVSmwp+5k1Vlb9FikqToTOY4ZrBEX2EKxxX0NXZtcoGjEMphxj/3XiGfzUcb4c3i25ZxFfjv5KAIYQQ4pwkZAiPoLUO0loHF+zw7Y9ZWerdc/zYZ8DQk849DizSWrcAFhU8BxgGtChodwLvgQklwNNAd6Ab8HRhMCl4zx0lfu7ke4lqJlEn8ovrF1JJZahjKK0dre0u6bTyXHm8suIVLnnnEubsmsOk/pPYeM9G+jfpb3dpQggh3ISEDOFxtPELMOQc7/sdSDzp9BhgasHxVGBsifPTCq4dDYQopeoU3GOB1jpRa50ELACGFrwWrLWO1lprYFqJa4lq6Ih1hOmu6VhYjHaOpqGjau6A/dv+3+gwpQN/X/h3BjYdyNa/buWJPk/I3AshhBAXROZkCI+glLqqxFMH0AXILsOlorTWxwqOjwNRBcf1gEMl3ne44NzZzh8+zfnT1X4npneEhg2r5hdPcXF2WbtYai0lmGCGO4cTpILsLukUsemxPLbgMT7f+DmNQxoz8/9mMrKlrKsghBCibCRkCE8xqsRxPrAf0/tQZlprrZQ64/K45UVr/QHwAUCXLl0q/H6icm2wNhBtRVOHOgxxDsFX+dpdUilaaz5Z/wmPLniUzLxMnurzFE/0eYIa3jXsLk0IIYQbk5AhPILWemI5XSpWKVVHa32sYMjTiYLzRzC7iBeqX3DuCNDvpPNLC87XP837xflIT4ekJHC5zt28vKBOHYiKMsdVhNaaaCuajXojTVVT+jv6V7klancm7OTOmXfy24Hf6NuoL1NGTqF1RNWcJyKEEMK9VJ3fyEJcBKVUU+ANoAdmc76VwENa670XeKkZwARgcsHj9BLn71NKfYOZ5J1SEETmAZNKTPYeDDyhtU4sWOmqB7AKuAV4q+yf0APl5cH+/bBjB+zcWfy4cyccPXrh11PKBI26dc/cWrWCGhX/F3qXdrHUWspuvZu2qi29HL2q1ApSua5cXl7xMs///jz+3v58NOojJnaciEPJND0hhBDlQ0KG8BRfAe8A4wqeXw98jQkEp6WU+hrTCxGhlDqMWSVqMvCdUuo24ABwbcHbZwPDgd1AJjARoCBM/AdYU/C+57TWhZPJ78WsYOUPzClo1ZPLBX/8AbNnw5YtJkjs2QP5+cXvCQszIWDQIPMYEWF6JpzOs7e8PDh+3ASTwnbkCKxZAydOgC4xAs3hgNatoWNH6NTJPHbsCCEh5fZRS+6B0c3RjQ6qQ5UKGH8c+oM7Zt7B1ritXNfmOv439H/UDqxtd1lCCCE8jNJahoAL96eU2qi1bn/SuQ1a68vsqqksunTpomNiYuwuo3zk5MDixfDzzzB9uvnC7+1tAkTLlqYVHrdqBeHh5V9DXh7ExprgcegQbNwI69bB+vUmiBRq0qQ4dHTqBN26lameTJ3JHNccEkjgCscVtHK0KscPc3FSslN4YtETvB/zPg1qNuDd4e8youUIu8sSQgjhxpRSa7XWXU77moQM4QmUUi8BScA3mOFS1wGhwCtgehzsq+78uX3ISE+HuXPhp59g1ixITYXAQBgxAsaNg2HDIDjY7iqNEydM2Fi/vjh47N5tXlPKBI6BA03PyuWXg7//WS+XolOY7ZpNJpkMdAykkaNRJXyI8/Pztp+5b859HE8/zoPdH+S5K58j0CfQ7rKEEEK4OQkZwuMppfad5WWttW5aacVcBLcMGenp8OOPJljMnw/Z2Wao0+jRcNVVMGAA+PnZXeX5SUmBP/+EZctg4UIzxCsvD3x9oU8fEzoGDjQBxFE8fyFOxzHHNQcLi2HOYUSpqLPcpPIcSzvGvbPv5Zftv9Chdgc+HPUhXeqe9neBEEIIccEkZAjhJtwqZGRnw/vvw6RJEBcH9eubUDFuHPTuXaVWeiqz9HQTOBYsMKFj0yZzPjwc+veHwYM5fFV35gevwRdfhjuHE1q0BoB9tNZM2zCNv837G9n52Tzb71ke6vEQ3k5vu0sTQgjhQc4WMjzgW4AQoJTyBu4B+hacWgpM0Vrn2VaUp8rLg88+g+eeg8OHTU/F00+bYFGFJjiXi8BAM8Rr2DDz/PhxWLTIBI4FC9jt2MeSG3II2ZvO8GU1CBiaCfXsDRmHUg5x1693MWf3HPo07MPHoz+mRXgLW2sSQghR/UhPhvAISqmPAG9gasGpmwGX1vp2+6q6cFW6J8Oy4Ntv4d//NnMXevSAF14wf9Gvhja5NvGH/oM6+3MYcvNn+EavNy/07Anjx5vWuHGl1aO15qN1H/HI/EewtMXkgZO5t+u9siytEEKICiPDpYTHO91KUrK6VDnRGn79FZ56yqzO1K6dCRcjR3pez8V50FoTY8WwTq+jsWrMAMcAvJQXbN9u5qb8+KOZRA7QuXNx4GjZssJq2pe0jztm3sGifYvo36Q/H436iCahTSrsfkIIIQScPWTIn7iEp3AppZoVPinYnM9lYz2eYfFi85f50aMhMxO+/tpMjB41qloGDEtbLLeWs06vo7VqzSDHIBMwwOy/8c9/mpWq9uyBl18281KefNIs0dulC7z1FsTHl2s9b69+m3bvtWP1kdVMGTmFhTcvlIAhhBDCdtKTITyCUmoA8ClQuMN3Y2Ci1nqJbUWVQZXpyYiLg4kTzTK09eubORcTJph9Lqopl3ax2FrMXr2XDqoD3Rzdzm+TvUOH4Icf4PPPTQ+Ht7dZ0nfCBBg+HHx8ylTProRd3DbjNpYdXMbQ5kP5YOQHNKjZoEzXEkIIIcpCejJEdbACmAJYQGLB8UpbK3JXK1eaDekWLoT//hd27YLbb6/WASNP5zHXmstevZcejh50d3Y//128GzSAhx4yPRwbNsD995v/jceNg7p14YEHYO3a0juTn4WlLd6IfoP277dn04lNfDbmM2bfMFsChhBCiCpFejKER1BKfQekAl8WnLoBCNFaX2NfVRfO1p4Mrc1wnkcegYYNzV/fO3a0p5YqJFtnM8c1hzjiym8X7/x8mDcPpk41u6Hn5kKbNqZ346aboE6d0/7YvqR9TJw+kd8O/MbIliOZMnIKdYPqXnw9QgghRBnIxG/h8ZRSW7XWl57rXFVnW8hISzO9Fd99Z+ZfTJ0KISGVX0cVk67TmeWaRRppDHQMpLGjcfnfJCnJrNo1bZrp4XA6YcwYuPtuszyww1G0ctTD8x9GoXhj6Bvc2uHW8+9NEUIIISqA7JMhqoN1SqkeWutoAKVUd6AKTG5wA1u2wNVXw86dMHkyPPZYqd2sq6tkncws1yxyyGG4czh1VQX1GISGmkBx993m/4OPPoJPPjE7qDdrxtE7ruf2WtHMOWhWjvpk9Cc0CmlUMbUIIYQQ5US+SQhP0Rn4Qym1Xym1HzMfo6tSapNSaqO9pVVhX30F3bqZv6YvWgT/+IcEDCBOxzHdNR0XLkY7R1dcwDhZy5ZmVaojR9BffMFXnbxpm/QCS/cs4q3Yzixo9C8a1WxYObUIIYQQF0F6MoSnGGp3AW4lJwcefhjefRf69DHDdc4wD6C6OWIdYZ41D198GekcSU1Vs9JriMtP5R7vn/mxzXZ6hF3G1L3tafnVDHjvSrjkErjrLrjlFtMLIoQQQlRB8idL4RG01gfO1uyur0o5cAD69jUB49FHTQ+GBAwA9lv7mWPNIZBAxjrH2hIwZuyYQdv32jJz50wmD5jM8r+upeXr0+DoUTOMKigI/vY3qFcP7rwTNm2q9BqFEEKIc5GQIUR1snq1WZ52+3Yz5v+VV6r10rQl7bR2Mt+aTzjhjHaOJkAFVOr9U3NSmTh9ImO+GUOdwDrE3BHDP3r/A6fDad5Qo4bZu2TVKrMc7o03mr032rc3E8SnTweX7D8phBCiapCQIUR10qKFGR4VE2P2aRAAbLY2s8RaQl1Vl5HOkfgpv0q9/4qDK+jwfgembZjGk72fZPUdq2kX1e7MP9CxI3z4IRw+bCbr79oFY8dC8+bw6qtmjo0QQghhIwkZQlQnoaHwyy8mbAi01qy11rLCWkFj1ZihjqF4q8rr2clz5fHU4qfo+1lfAJZNXMYLA17Ax3meu4CHh5vJ+nv3mn1NGjQwQ+Dq14d77oGtWyuweiGEEOLMJGQIUZ1kHoHl10JWrN2V2E5rzUprJTFWDC1VSwY5BuGlKm8tjB3xO+j1SS9eWPYCEy6bwJ93/0mvBr3KdjEvLxg/Hn7/3Qyluu46+PRTs8Hf4MEwaxZYVvl+ACGEEOIsJGQIUZ3kJsKRmbDyZtDV90unpS1+s35jk95EW9WWfo5+OFTl/HOotea9Ne/RcUpH9ibt5YdrfuCTMZ8Q7BtcPjfo2NFMED90CF54wfRmjBxpAseHH0JWVvncRwghhDgLCRlCVCch7aDzm3B8AWydbHc1tnBpFwuthezQO+isOtPL0avSds6OTY9l1NejuHf2vfRp1IdN92xi/KXjK+ZmkZHw5JNmKNUXX4C/v1mNqlEjeOYZOHGiYu4rhBBCICFDiOqn2e3Q6HrY+C84sczuaipVns5jrjWXfXofvRy96OLsUmkBY8aOGbR7rx2L9i3izaFvMufGOdQNqoRN/nx8zEpUa9fCkiXQowc8+yw0bAh33CHzNoQQQlQICRlCVDdKQbcpENAUVvwfZMfbXVGlyNE5zHLN4og+Qj9HP9o5zrJ6UznKyM3grpl3MeabMdQLrkfMHTHc3/3+ShueVUQp6NcPZswwSxhPnGh6ONq0geHDYeFC0LpyaxJCCOGxJGQIUR15B0PvbyEnDqJv9fgvl5k6kxmuGcQRx0DHQFo5WlXKff88/iddPuzCh+s+5LFejxF9WzRtarWplHufVatW8N57Zt7Gf/5jJosPGgQdOpjgkZdnd4VCCCHcnIQMIaqrsE7Q8VU4Ogu2v2Z3NRUmTacx3TWdVFIZ5hhGU0fTCr+npS1eX/k63T/qTmpOKgtvWcjLg17G18u3wu99QSIi4KmnYP9++PhjyM+Hm2+GZs3gtdcgLc3uCoUQQrgpCRlCVGct/woNroI/H4f4VXZXU+6SdTIzXDPIJpsRzhHUd9Sv8HvGpscy4qsRPDz/YYY2H8qGuzfQv0n/Cr/vRfHzg7/8BTZtgl9/haZN4ZFHzL4bjz8OR4/aXaEQQgg3IyFDiOpMKej+MdSoDyuug1zP2Sk6Xscz3TWdfPIZ5RxFbVW7wu85d/dc2r/fnqX7l/LO8Hf45bpfiKgRUeH3LTcOB4wYAUuXwurVZo+NV16Bxo1NCJFJ4kIIIc6ThAwhqjufELj8G7NRX/RtHjE/47g+zkzXTJw4GeMcQ4Sq2C/6Ofk5PDzvYYZ9OYxaAbVYc8ca7u16b6WtXFUhunaF776DnTvNKlTffGMmiY8aZTb984D/ToQQQlQcCRlCCIjoDh0mw+GfYec7dldzUQ5bh5nlmoUffoxxjiFEhVTo/bbHb6fHxz14Pfp1/tr1r6y+fTVta7Wt0HtWqmbN4J134OBBs79GdDRccQX07Ak//QQul90VCiGEqIIkZAghjNYPQd0RsP4RSFxndzVlss/axxxrDsEEM8Y5hiAVVGH30lrz0bqP6PxBZw6lHGLG9TN4e/jb+Hv7V9g9bRURAU8/DQcOmNARFwfjx8Oll5qdxLOz7a5QCCFEFSIhQwhhKAf0nAp+tWD5dZCXandFF2SntZMF1gIiiGCUcxQ1VI0Ku1dydjLX/XAdd8y8g571e7Lxno2MajWqwu5XpdSoAffea4ZRffstBAWZncQbN4YXX4Qkz5nXI4QQouwkZAghivmGQ6+vIWMfrL7Lbcbdb7G2sMRaQh1VhxHOEfgpvwq716rDq+g4pSM/bfuJFwe8yPyb51fOzt1VjdMJ114La9bAokVmj40nnzQ7iT/yCBw+bHeFQgghbCQhQwhRWq3e0P45OPAN7J5idzXntN5az3JrOY1UI4Y5huGjfCrkPpa2eGXFK/T+tDdaa5ZNXMbjvR+v/J27qxqloH9/mDsX/vwTRo+GN96AJk3g1lthyxa7KxRCCGGDav7bUQhxWpc+DnWGQsz9cHyR3dWcltaaVa5VrLZW01w1Z5BjEF7Kq0LudSLjBCO+GsHfF/6d0a1Gs/6u9fRs0LNC7uXWLrsMvvwSdu82Q6q+/x7atoWRI2HZMrfpGRNCCHHxJGQIIU6lHGZZ2+BWsGw8pGyzu6JStNYst5bzp/6TS9Ql9Hf0x6mcFXKvxfsW0+H9DizZt4R3h7/LD9f8QKh/aIXcy2M0bmx6Mw4ehGefhVWroG9f6NULfv4ZLMvuCoUQQlQwCRlCiNPzqQn9ZoHTD5YOh+wTdlcEgEu7WGwtZqveymXqMvo4+lTIfhT5Vj7/WvwvBk4bSE2/mqy+YzX3dL3Hvfe+qGzh4fDvfxevSBUbC1ddBZdcAh99JCtSCSGEB5OQIYQ4s4BG0HcGZMfCb2MgP8vWcvJ1PgusBezWu+nm6EYPZ48K+dJ/KOUQ/af25/llz3Nrh1uJuSOG9lHty/0+1UbJFam++QYCA80Gf02awOTJkJxsd4VCCCHKmYQMIcTZRXSDXl9AwiqIvhW0PUNd8nQec6w5HNAH6O3oTUdHxwq5z8wdM+kwpQPrj6/ni3Ff8MmYTwjwCaiQe1U7Xl5w3XUQEwMLF0L79vDEE2ZFqkcflRWphBDCg0jIEEKcW4OroMNLcPA72PBUpd8+W2fzq+tXjuljXOm4kjaONuV+j1xXLg/Pe5jR34ymUc1GrLtzHTe2v7Hc7yMwK1INGADz5sH69WZi+P/+Z3o2JkyATZvsrlAIIcRFkpAhhDg/lzwKze+ErS/Cnk8r7baZOpOZrpnEE88gxyBaOlqW+z32J++nz6d9eD36de7reh8rb1tJi/AW5X4fcRodOsBXXxWvSPXDD6aHY9gwWLJEVqQSQgg3JSFDCHF+lIIub0PtQbD6Tji+uMJvmabTmO6aTiqpDHMMo4mjSbnf45ftv9BxSke2x2/nh2t+4K3hb+Hr5Vvu9xHnULgi1aFD8PzzsG6d2X+ja1ezs3h+vt0VCiGEuAASMoQQ58/hDb2/L1ja9qoKXdo2WSczwzWDbLIZ4RxBfUf9cr1+riuXv839G+O+HUfzsOasv2s94y8dX673EGUQFgb//KdZkWrKFEhLg+uvh5Yt4a23ICPD7gqFEEKcBwkZQogL41MTrvi1YGnbERWytG28jme6azouXIx2jqa2ql2u19+btJfLP7mcN1a9wQPdHmD5xOU0DW1arvcQF8nPD+68E7ZtM3tr1KkDDzxgJok/9RQcP253hUIIIc5CQoYQ4sIFNi5Y2vY4/D62XJe2PaaPMdM1Ey+8GO0cTbgKL7drA/y49Uc6TunIroRd/HTtT7wx7A0ZHlWVORwwdiysWGFa374waRI0agS33QZbtthdoRBCiNOQkCGEKJuIbtDzc4hfCdETwHJd9CUPWgeZ7ZqNP/6Mdo4mRIWUQ6FGTn4O98++n6u/v5pW4a1Yf9d6xl0yrtyuLypB4Y7hO3aYgPH119C2LQwfDosWySRxIYSoQiRkCCHKruF46PgKHPweVt9+UXto7LZ2M8+aRwghjHGOIUgFlVuZexL30OuTXry95m3+1v1vLP/LcpqElv8kclFJWrSAd9+Fgwfhuedg7VoYOBA6dYIvvoC8PLsrFEKIak9ChhDi4lzyKLR9GvZ+BqvvLlPQ2GptZZG1iCiiGOkcib/yL7fyftz6I50+6MTepL38ct0vvD70dXycPuV2fWGjiAj417/MJPGPPoKcHLj5ZmjaFF55BVJS7K5QCCGqLQkZQoiL1+5paPMk7PkQYu4772ErWmvWW+tZZi2joWrIcOdwfFX5zI/Iyc/hgTkPcPX3V9M6ojXr71rPmNZjyuXaoorx8zPDpzZvhlmzTE/H3/8O9evDgw/Cnj12VyiEENWOhAwhxMVTCto/D5c8Brveg7V/O2fQ0FoTbUWz2lpNc9WcwY7BeCmvcilnX9I++nzah7dWv8WD3R9k2cRlNA5pXC7XFlWYw2HmZyxebPbZGDcO3nvPhI5x4+C332TehhBCVBIJGUKI8qEUdHgJWj0EO9+E9Y+e8QudpS1+t35no95IG9WG/o7+OJWzXMr4ZfsvdPqgEzsTdvLTtT/xv6H/k+FR1VHHjjBtGuzfD08+CcuWQb9+0LkzfP455ObaXaEQQng0CRlCiPKjFHR6FVreD9tfgw1PnBI0XNrFQmsh2/V2OqlOXO64HKXURd8615XLw/MeZty342gW2ox1d62T1aME1K1rdhA/eNBs7pedDbfcYnYYf+EFiI+3u0IhhPBIEjKEEOVLKej8BjS/G7a+BBv/XfRSns5jrjWXfXofPR096ersWi4B40DyAfp+2pfXo1/nvq73seJxUkUIAAAgAElEQVQvK2RzPVFajRpmc7/Nm2HOHGjXzmzq16AB3HWX7LchhBDlTEKGEKL8KQVd34Fmt8OW52HTc2TrbH51/coRfYR+jn60d7Qvl1v9uvNXOk7pyNa4rXx39Xe8Nfwt2VxPnJnDAUOHwrx5JnDcdJMZVtW2rVkGd/p0cF38ni9CCFHdScgQQlQM5YBuU6DJBNj0NDs3TySBBAY5BtHK0eqiL5/nyuPvC/7OqK9H0SikEevuWsc1ba4ph8JFtdGmDXz4IRw+DJMnw86dZnfx5s3h1VchKcnuCoUQwm1JyBBCVBzlIKnbf9nXsBftN33DNTsP0sRx8ZvgHUo5RL+p/Xjlj1e4u/PdrLxtJc3DmpdDwaJaCg+Hf/wD9u6FH36Ahg3h0UfNErh33y1DqYQQogwkZAghKsxxfZzp+ldWdLuDnIbjqPnnf2Dz8xe1jOjsXbPpOKUjG2M38vX4r3lv5Hv4efmVY9Wi2vLygvHjzVK369fD9dfDZ58VD6WaMUOGUgkhxHmSkCGEqBAHrAPMcs3CF19Ge1+Fb6/voPHNsPFfsOZesC7sy1qeK4/HFz7OiK9GUD+4PuvuXMf1ba+voOpFtdehA3z8sRlKNWkS7NgBY8ZAs2ZmaFVcnN0VCiFElSYhQwhR7nZYO5hnzSOEEMY6xxKsgsHhBT2nwqWPw+73YfnVkJ91Xtc7nHqYK6deyUsrXuLOTney8raVtAhvUcGfQgggIgKeeAL27YPvv4emTc3z+vXh5pshOlo2+BNCiNOQkCGEKDdaa/60/mSptZS6qi6jnKPwV/7Fb1AKOrwInd+Cw9Nh8UDISTzrNefunkvHKR3ZELuBL6/6kimjpuDv7X/WnxGi3Hl5wdVXm93Et2wxy+FOnw49e5oN/j7+GDIz7a5SCCGqDAkZQohyobVmpbWSVdYqmqlmDHMMw0edYaftVvdB7+8gcS0suBwyDpzylnwrn38u+ifDvhxGncA6xNwRww3tbqjgTyHEebj0UnjrLThyBN591+wefvvtUK8ePPywWaVKCCGqOQkZQoiL5tIuFluL2aQ30Va1ZYBjAE7lPPsPNbwa+s+HrGMwvyckbSh66WjaUQZMG8Ck5ZO4vePtrLp9Fa0iLn7ZWyHKVVAQ3HMPbNpkJosPGWLCR6tWMGiQWakqL8/uKoUQwhYSMoQ4DaXUfqXUJqXUn0qpmIJzYUqpBUqpXQWPoQXnlVLqTaXUbqXURqVUpxLXmVDw/l1KqQl2fZ6KVLiL9269m26ObvRy9Dr/Xbxr9YVBy0E5YWFfOL6Yubvnctn7l7H26Fo+H/c5H47+UIZHiapNKejbF775Bg4ehGefNRPFr7nG7Cj+5JNmTocQQlQjSsuENSFOoZTaD3TRWseXOPcykKi1nqyUehwI1Vr/Qyk1HLgfGA50B97QWndXSoUBMUAXQANrgc5a6zPu8NWlSxcdExNTYZ+rvGXoDOa65pJAAn0dfWntaF3GCx0ib/FQ/r1/O5MTLdrVasd313xH64gyXk8Iu7lcMHcuTJkCs2aZyeGDBsFdd8GoUeDtbXeFQghx0ZRSa7XWXU73mvRkCHH+xgBTC46nAmNLnJ+mjWggRClVBxgCLNBaJxYEiwXA0MouuqIk6kR+cf1CMskMcQwpe8AADuVDv9hAJida3BkMq/rcKAFDuDenE0aMMHtr7N8PTz8NW7eafTgaNoSnnjLnhRDCQ0nIEOL0NDBfKbVWKXVnwbkorfWxguPjQFTBcT3gUImfPVxw7kznS1FK3amUilFKxcS5ydr7R6wjTHdNx8JitHM0jRyNynytmTtm0mFKBzbGbeXrcVOZ0mU8/hsfh5gHwZLx7MIDNGhgQsa+fSZ0dOkCL75olsMdNszM3cjNtbtKIYQoVxIyhDi93lrrTsAw4K9Kqb4lX9RmnGG5jDXUWn+gte6ite4SGRlZHpesUDutncy2ZhNAAGOdY4lUZas515XLI/MeYfQ3o2lUs5HZXK/9LXD5t9DqIdj5plniNiu2nD+BEDbx8jJDpWbONIHj3/+GzZvN3I3Clam2bLG7SiGEKBcSMoQ4Da31kYLHE8DPQDcgtmAYFAWPJwrefgRoUOLH6xecO9N5t6S1Zq21liXWEmqr2oxxjiFIBZXpWvuS9tHn0z68Fv0a93W9jz9u+6N4cz2HEzq/Bj2/gIQ1MLcTxEeX4ycRogpo2BCeecYMmZo9G/r1g7ffhrZtoUcP+PBDSE21uUghhCg7CRlCnEQpFaCU+faslAoABgObgRlA4QpRE4DpBcczgFsKVpnqAaQUDKuaBwxWSoUWrEQ1uOCc23FpF0utpcRYMbRULRnuGI6v8i3TtX7a9hMdp3RkR/wOfrz2R94a/hZ+Xn6nvrHJjTB4JTj9zMpTu96TnZWF53E6zZCp7783+2689hqkp5vN/urUgYkTYfly+W9fCOF2ZHUpIU6ilGqK6b0A8AK+0lq/oJQKB74DGgIHgGu11onKrNf6NmZSdyYwUWtduOztX4AnC671gtb607PduyquLpWjc1hgLeCIPkJnR2c6q87nv0RtCdn52Tw2/zHeXvM23ep145vx39AktMm5fzA3Cf64CY7OhiYToOt74CVL2goPpjWsXm12Ef/mG0hLg5Yt4dZb4eaboX59uysUQgjg7KtLScgQogqpaiEjTacxxzWHFFLo6+hLK0fZNsTbFreN63+8no2xG3m4x8O8OPBFfJxn2A38dLQFm/8Dm56B0I7Q5ycIbFymWoRwKxkZppfjk09g2TKzJ8eAAXDLLXDVVRAQYHeFQohqTEKGEG6iKoWMeB3PHNcc8slnkGMQ9R0X/tdTrTUfrfuIB+c+SKBPIJ+N/YzhLYaXvagjs0yvhnLA5V9DncFlv5YQ7mbvXpg2zbR9+yAwEK6+GiZMMJsBOmQEtBCicknIEMJNVJWQsdfayxJrCX74Mcw5jDAVdsHXSMpK4s5f7+SHrT8wsOlApo2dRp2gOhdfXNoeWHYVJG+Cy56HSx83oUOI6sKyYMUKmDoVvvvODKdq1MgMpbrlFmjRwu4KhRDVhIQMIdyE3SFDa02MFcM6vY4oohjsHEwNVeOCr7Pi4Apu+OkGjqYd5YX+L/Bor0dxlGcQyM+EVXfAga+g/hjo/jH4hpff9YVwF5mZ8MsvpndjwQITQHr0gBtvhGuvhVq17K5QCOHBJGQI4SbsDBm5Opcl1hL26/20Uq3o4+iDUzkv6Bouy8WkZZN45rdnaBzSmK/Hf023et0qpmCtYedbsP5R8AmHHp9A3WEVcy8h3MGRI/Dll/DFF7Bpk1m5atAgEzjGjjXDq4QQHkdrjWVZpzQvLy98fcu2EuT5kpAhhJuwK2Sk6BTmueaRTDK9HL1oo9pc8ApSh1IOcdPPN/H7gd+5sd2NvDviXYJ9gyuo4hKSNph5Gimbofnd0Om/4CWTYUU1t2kTfPWVaQcPgr8/jBljAsfgweBzAQsvCOGBtNa4XK7TNsuyzvv56Y5PPlfy/JmOS547n+cl25m+y3fv3p2hQ4dW6P+OEjKEcBN2hIzD1mEWWgsBGOgYWKYJ3j9v+5nbZtxGnpXHu8Pf5ebLbi7vMs/OlQ0b/wXbXoWg5tDzc4joXrk1CFEVWRb88Yfp4fjuO0hMhPBws8v4DTfA5ZfLhHFRoQr/yp6fn09+fj4ul6vo+OTnpzsu/LJ+8rn8/Pyi654uKJzpfMkv/xVJKYXT6cTpdOJwOHA4HEXHpzt3ptcLnxder+T5k9vJr0dFRdGwYcOK/pwSMoRwB5UZMrTWbNabWWmtJIQQhjqHEqwurOchPTedR+Y9wgfrPqBznc58Pf7r4p277RD7G6y8BbKOQJsnoe2/wOFtXz1CVCW5uTB/vgkc06dDVhbUq2cCx7XXmrkcZdgDR7iHwr/c5+fnk5eXd8rjyedOPj7d8/Nt5aXwS7uXl1epx5PPl0cr/NJ+uufnOnY4HGXaT8odScgQwk1UVshwaRfLrGXs0DtorBpzpeNKfNSFDZ9YeWglN/98M3uT9vJor0d5vv/zF7b3RUXJTYG1D8K+qRDWGXp+ATVb212VEFVLejrMmGF6N+bMMQGkYUMTOK67Drp0kcBRyVwuF7m5ueTm5pKXl1f0WLKd6VzJoFCynXz+Yr7zeXt74+XlhZeXV6nj82mFAeB0z093fKYgUV2+uLsTCRlCuInKCBkZOoP5rvmc4ASdVWc6Oy5sB+88Vx7P/fYck5ZPokFwA6aNm0bfRn0rsOIyOvgjrLkL8jOgw8vQ8q+y1K0Qp5OSYgLHt9+ano68PGjSxPRuXHstdOwogaMErXXRl/ucnJyiYHChrWRoyM3NveDhOw6HA29v73O2wlBwpuMznSt5XJ3+Mi8ujIQMIdxERYeMBJ3AHNcccsjhSseVNHU0vaCf3x6/nZt+uom1x9Yy4bIJvDnszcqZ3F1WWcdg1e1wdDbUHmiWug2o2PGpQri1pCSzJO5338HChZCfD82bm03/rrrKbXs4tNbk5+eTk5NDdnZ2UUA4Uyv5eskwUfh4vhwOB76+vvj4+ODj44O3t3ep45Ofn+nx5GNvb2+czgtb/U+IiiAhQwg3UdEhI1NnssC1gN7O3oSr899XQmvNO2ve4bEFjxHgHcCUkVMYf+n4CquzXGkNuz+AdQ+b5+2ehtYPyVwNIc4lIQF+/tkEjsWLweWCBg1M2LjqKjNpvJK+6Obn55OdnV0UEk7XCkPBmY7Pp6fA4XDg5+dXFAxOfjzf48ImQUB4OgkZQriJyhgupbW+oG7vo2lHmTh9IvP3zGdY82F8PPrj8tm5u7JlHICYB+DIDKjZBrq+B7X62F2VEO4hMRFmzoSffoJ58yAnByIjzf4b48fDlVeec1ncvLw8srKyilp2dnbR49mOs7Ozzzl5WClVFA4KHwuPfXx8Sp07+T0lg4SXl1d5/q8mhMeTkCGEm7B7x++Tfb/le+769S5yXDm8OvhV7up8l/uPyz08A2Luh8yD0PRWM1/DL9LuqoRwG/nJyWTOnk3WvHlkrllDllJkhoWR1bEjWa1akRUVRVZ+fqlAkZWVhcvlOut1/fz88Pf3x8/P75Tjkq0wJJRs3t7e7v9vkxBuSEKGEG6iqoSMhMwEHpz7IF9u+pJu9brx+bjPaRne0u6yyk9+Bmz+j9lXwzsYOrwEzf4iE8NFteNyucjMzDylZWRkkJmZSVZWFhkZGWRlZRU9z8vLO+P1vHNz8c/Oxt/LC/+QEPzr1sUvNBR/f/9SrWSI8Pf3x9fXV0KCEG5IQoYQbsLukKG15oetP3DfnPtIzErkqT5P8c++/8TL4aFDCJK3QMy9cOJ3iOhphlCFXmZ3VUKUWcnQkJGRUaqVDA+F53Jycs54LT8/P2rUqFHUCgNC4fEpjz4+eEVHm5Wqpk+HvXvNhbp0gdGjTWvf3i0njgshTk9ChhBuws6QcSztGH+d/Vd+3v4znet05pMxn9A+qr0ttVQqrWHf57D+EchNgpYPQPtnwTvI7sqEAExwSE9PJyMj45THk89lZWWd9hpKKQICAqhRowYBAQFFx4XPS4aJwtBwUZOWtYZt20zgmDEDoqPNuYYNiwNH377g61v2ewghbCchQwg3YUfI0Frz2Z+f8fD8h8nOz+a5fs/xUM+HPLf34kxyEmHDk2YlKr8oaPeMGUIlq1CJCqC1Jicnh7S0NNLT04taWlpaUWAofO1MwcHHx4fAwMCi0BAQEHDK88IA4e/vb+9wpNhYmDXLBI75881u4wEBMHAgDB8Ow4aZlauEEG5FQoYQbqKyQ8aB5APc+eudzN8zn94Ne/Px6I89a+5FWcSvgvWPQtxyCGoJHSZD/bEyxEOct8LwcHIrDA6F7XQrJjmdToKCgggMDDxtKxkkvL3dNABnZcGiRWan8Vmz4MABc75dOxM4hg+Hnj3BXT+fENWIhAwh3ERlhQxLW7y75l0eX/g4SikmD5jMPV3vwSETnw2t4chM+PNxSN0GEb2g48sQebndlQkbaa3JyMggLS2N1NRUUlNTi45LnjvdZm3e3t4EBQUVtcDAwFLHhc+r3QTowmFVs2ebtmyZ2QCwZk0YPNgEjiFDoI4bLpstRDUgIUMIN1EZIWNH/A5un3k7yw8uZ3CzwXww8gMahTSq0Hu6LSsf9n4Gm56GrKNQfwxc9iLUvMTuykQ501qTlZVFSkoKqampRY8nH5+8oZtSqigsBAcHl3os2Xx8fKpXeCir1FSz03hh6Dh2zJxv186EjsGDoU8f8Pe3t04hBCAhQwi3UdEh47f9vzHkiyH4e/vz+pDXmXDZBPnicz7yM2HH/2DLZHBlQNPbzJyNGnXtrkycp/z8/KLAkJKSQnJyctFxYYg4efiSw+EgODiY4OBgatasWXRcGCSCg4MJCAjA4ZAewAqhNWzYYDb/mz8fli+H3Fzw8zOTxgtDR9u2MpxRCJtIyBDCTVR0yMjKy+IfC//BE72fcM9du+2WHQebn4fd74HygtYPQeuHwTfc7sqqvdzc3KLwUNhKhon09PRTfiYoKIiaNWuWChCFxzVr1iQgIEBCeFWSkQG//24Cx/z5sHWrOV+7tgkbgwZB//5QV8K/EJVFQoYQbsLufTLEeUrfCxueggNfg1cAtLgHWj8C/rXtrsxj5efnk5ycTFJS0ikhIjk5mYyMjFLvdzqd1KxZk5CQEIKDgwkJCSkKFCEhIQQFBeHlVc1WUPM0hw/DggUmcCxYAAkJ5nzr1iZs9O8P/fpBuPwRQIiKIiFDCDchIcPNJG+GLS/CwW9AeUOz2+DSv0OAzHG5UIWTqpOSkopaYahISkoiNTW11PtLhojTtcDAQOmFqE4sywytWrzYtN9/h/R0M4zqssuKQ0ffvhAke+AIUV4kZAjhJiRkuKm03bD1Jdg31Ywjb3ITXPo4BLeyu7IqxbIsUlJSSExMJDExkaSkpKLHpKQk8vLySr0/KCiI0NBQQkNDCQkJKXUcFBQkIUKcWV4erFlTHDr++ANycsDphK5d4YorTLv8cggOtrtaIdyWhAwh3ISEDDeXcQi2/Rf2fAiubGh4DbR5EkIvs7uySuNyuUhOTiYxMZGEhIRSYSI5ObnU6kxeXl6EhoYSFhZGSEgIYWFhRUGiZs2a7rsPhKh6srJg5UqzP8fixRATY5bKdTigY0fTw3HFFdC7twyvEuICSMgQwk1IyPAQ2Sdg++uw8x3IT4O6I+HSxyCyj0esgmNZFqmpqSQkJBQFicJQkZSURMnfK76+vkXhoeRjWFiY9EYI+2RkQHQ0/PabGVoVHW16OsAsl1sydMgeHUKckYQMIdyEhAwPk5sEO942y9/mJkJIe2h5PzS+Abxq2F3dOWVlZREfH09CQgLx8fEkJiYWPbpcrqL3eXt7Ex4eXhQewsPDi57XqFFDgoSo+rKzzfCq3383weOPP0wQAWjSxAyrKmxt2pgeECGEhAwh3IWEDA+Vnwn7v4Kdb0HyRvAJNZPEW/wVAhvbWpplWSQlJREfH1/UCnsoMjMzi97ncDgIDQ0lIiKiVJAIDw+XSdbC8+Tlwbp1sGJFcYuNNa/VrAk9ehSHju7dISDA3nqFsImEDCHchIQMD6c1xC2DHW/B4Z9BW1BvFLS6H6IGVOhQqtzcXBISEoiLizslUJScJxEQEEBERERRgCg8DgkJwel0Vlh9QlRpWsPevaVDx5Yt5jWn06xg1aOHCRw9ekCLFh4xNFKIc5GQIYSbkJBRjWQcgt3vw+4PICcegi+BlvdBk1vAO7DMly0c4hQXF1fU4uPjSUlJKXqPUoqwsDAiIiJOaX5+fuXx6YTwfElJZi7HihVmeNWaNWbZXIDQUBM4CkNHt24QFmZvvUJUAAkZQrgJCRnVkCsbDnxrhlIlrgWvQLMqVdOJENn7jH8NzczMLBUkClvJna29vLyIiIggMjKyKERERkYSFhYmvRJClDeXC7Ztg1WrTPhYtQo2bza9IAAtW5rQ0bUrdOkCHTqAv7+9NQtxkSRkCOEmJGRUY1pDfDTs+QgOfgf56RDYjOwGE4gLGMqJNAcnTpwgLi6OEydOlNrh2tvbm8jISGrVqlUUJCIjIwkJCZG5EkLYKS3NLJdbMngcP25eczqhbVsTOApbu3bg62tvzUJcAAkZQrgJCRnVV15eXlGAOBF7hLiDWziRkERqTvHwJW8vRWRkFLWiaheFisjISIKDgyVMCOEujh41Q6tiYopbfLx5zdsb2rc3gaNTJ7OHR7t2IMMYRRUlIUMINyEhw/MVruYUGxtrAsWJE8TGxpbaX8LpdBaHiGAntVzriUz+gZC8LSifIGh0PTSZABE9ZXKpEO5Oazh4sHToiImB5GTzutMJl1xiAkdh69ABQkLsrVsIJGQI4TYkZHiWjIwMYmNjiwJFbGwscXFx5OfnF70nLCyMqKgoatWqVdTCwsJwnLwOv7bgxO+w9zM4+D24MiGgETS42szhCO8mgUMIT6E17NsH69eb9uef5vHo0eL3NGlSHDguu8z0gDRqJP8OiEolIUMINyEhwz3l5+cTHx9fKlAcP3681LyJwMDAUkEiKiqKyMhIvL29L/yGeWlw6GcTNo7PAyuvROC4FsK7yhcNITxRbGxx4Chsu3YVvx4UZIZXtW9f3Nq1g+Bg+2oWHk1ChhBuQkJG1Zeens7x48eLAkVsbCzx8fFFe004nc6iEFH4GBUVRUBFbdaVmwyHZ5jJ4sfnS+AQorpJTzd7dmzcWLoVDrcCaNzYBI42bYpb69Yy10NcNAkZQrgJCRlVh8vlIiEhoVSgOLl3Ijg4uChEFLbw8PBThzpVltxkODy9oIejROCoPxbqjoBafcEpK9cI4fG0hsOHTw0eO3dC4XBNhwOaNy8dPNq0gVatwMfH3vqF25CQIYSbkJBhj+zs7KIQUdji4uJwuVxA8UTs2rVrF4WJ2rVr41+V17gvGThiF5n9OLwCofYgqDcS6g4H/9p2VymEqEy5uWZ41ebNpvejsO3ebfb5ADPRvHlzM9m8dWvTLrnEhI+aNe2tX1Q5EjKEcBMSMiqW1pqUlJSi3onCQJFcYlhBjRo1isJE4WNERIR7b16Xnwmxi+HILDj6K2QeNufDupgejnojIawTKJt6YIQQ9srJgR07TODYvBm2bzcbC+7aVdzzAVCnTunw0bq12WSwQQPTMyKqHQkZQrgJCRnlx+VyER8fz/Hjxzl27FhRqMjOzi56T3h4eKlAUbt2bQIDAz17zwmtIXmTCRtHZkH8SkCDX22oOxSiBkBUf6hR1+5KhRB2y8uDvXtN6CgMHoWPqanF7/PzM70fLVqY0FGyRUbKvDAPJiFDCDchIaNszjXcycvLq1SQqF27NrVq1cJHxh1DdjwcmwtHfoXjCyA30ZwPvsSEjdoDIKof+ITaWqYQogrR2uxcvn276e3YudO0Xbtgzx4TTgoFB5uw0bw5NGtW/NismekZkQDi1iRkCOEmJGScndaatLS0U3onkpKSit5To0YN6tSpUypQnHbfCXEqbUHSBjOH4/gisy+HK9MMowrtVBw6InuDVw27qxVCVEX5+XDgQHHwKGx79pjzBSvxAVCjBjRtWjp4NGtm9gBp1EgmoLsBCRlCuAkJGcUsyyoa7lSyZWVlFb0nLCysVJioFsOdKpMrFxJWmcARuxgSos2KVQ5vCO0MkZcXN79adlcrhKjqcnNN0Nizx7Tdu4uP9+wxc0MKKQX16pnA0aSJCSOFx02aQN26Mg+kCpCQIYSbqK4ho+Rwp8LHEydOlFrdqeSqTnXq1KFWrVr4+spyrJUqPwNOLIPYJRC/AhLWgJVrXgtsXjp0BLeWieRCiPNnWWZH8717zW7nha3w+dGjZphWIR8fM+G8UaNTW8OG5jXpCalwEjKEcBOeHjLOd3Wnk+dPREREyHCnqsiVA4lrIW6FCR1xf0BOnHnNJxQiekF4dwjvYlay8ou0t14hhPvKyTG9ICUDyIEDcPCgeTx2rHQIUcrM+SgZOho0gPr1i49r1ZLekIskIUMIN+FJISMvL48TJ06U6pmIjY09ZXWnkoEiKiqKoKAgGe7krrSGtN0FgaOgpW4HCn7P1GhYHDjCukBYZ/ANs7VkIYSHyMkxGxAeOHBqO3TIvFbi9w9gejrq1SsdQOrVK91q1wYvL3s+kxuQkCGEm3DHkFHYO1G4K3ZhS0hIKHqPj48PtWrVKhUoZHWnaiIvFRLXQ2KMaQkxkL67+PXApgWBoxOEtDfNv66sOCOEKF9aQ0KCCRxnakePmnkjJTkcEBV1avioU6d0i4iolr0iEjKEcBNVPWRkZmZy4sSJol6JuLg4Tpw4QU6JyXqhoaFF8ycKW2hoqPROiGK5SZC4rjh0JMZAxv7i133CigNHSLuCxzbgFWBbyUKIasCyTBA5csS0w4eLj0u2EisaFvHyMmGkbt3S4aN2bdOiooof/f0r/7NVEAkZQriJqhIycnJyiI+PLwoUhS09Pb3oPX5+fkRFRREZGVkUJmQytiiz3CSzSWDyJkjeCEkbIWWTmWwOgIKg5iZ0BF9iWs3WENQKvANtLV0IUc1kZZk5ICe3o0dLP4+PP/3PBweXDh2Fx7VqFbfISPMYHFyle3YlZAjhJio7ZGRlZREXF1fU4uPjiYuLI7XETq5eXl5ERkZSq1atohYVFSVLxYqKpy1I31ccPJI3muP0PaBdxe+r0cCsZlUYPIILml/tKv3LWQjh4XJz4cQJiI01mxee7bHEAiil+PiUDh+1apmhWZGRp38MCanUYVsSMoRwExUdMhITE4mOji4KFCV7JgrDREREBJGRkUUtNDRUVnYSVYsrxwSN1O2mpWwrPs4v/m8ar0DT+xHYzLTC46Dm4F8PHE77PoMQQpSUkwNxcSaUFD6eqcXHQ2bm6a/jdEJ4uAkcEyfCo49WaNlnCxkyXV6I/2/vzMP0KKr9/zmzZk8IQSIQEiDsMYBGkHsVBA4MoBcAACAASURBVITLoggKqOCCgBsgIIu4XVdW9epFUZSfIosKCKggICAiLgiKIuBVUUBAAUH2LWSbnN8fpzpT03ln3p7Q70wy8/08Tz1vd/V5z6nu011dp6q6exSxZMkSbr/9dqZNm8bs2bOXBRLTpk1jypQpGpkQqwbt3TB5s0g57vD8g72BxzN3RjDy1P/BAz/q/aYHQFsXTFgvvu8xYX0YPzNLs6B7mkZBhBBDR3d3vN1qnXWqyc+fH8HGI4/Eb75c/E6Z0toyN0EjGUKsRLR6JKO43hVMiFHH0h54/n545u54u1Wf37v7joAAtI8tBR4zYdxMGLcOjFs7RkI6Rs7Dm0IIsSJoJEMIASi4EKOYtvbeYIEd+25zh8VPwnP39aZn74X5afnx38PCBg9wdk3tDTjGrQ1jswBk3FrxTEj3GpqWJYQYlSjIEEIIMboxiy+Ud60Gq23ZWGbJc/DcP+D5B2D+A+n3/t7lJ26FBQ+z7MODy3S3RaAxZjqMWRPGTo/l4nfMmvEl9O41YopWm27LQoiRgWozIYQQohkd42HyppH6Y+lieP5fEXgs+Bc8/xAseCj9PhzLT98Rv0sXNdbRtVoKSorAI19ePUZPuqZmy1MUmAghVkpUMwkhhBB10NYJ49eNNBDF9KwiCFnwCCx8JP0+GssLH4Fn7oJHb4y8/JW9ZTqnQPfULACZGnldKXVOLq1ny23desBdCNESFGQIIYQQQ0k+PWugkZECXwqLnoRFj8PCx2HRY+k3pYWP9d323L0RxCx6IkZXBqKtEzonQcek+O2cBJ0Ts+Vi28R4JXDHhPj4YceEvnkdE2K0R6MqQoiEagMhhBBiZcbaYnSieypMHMT/3KFnQQo4Ulpc/n0GFj8daUn6XfBwvP63yO95vrrN9jHQPi4Cjo5x0J5+O8Y3yB8bb/FqH5ctN1ofm/Sm1DYmXmNs+n6PECszCjKEaDFmtitwGtAOfMPdTxnmIgkhRgNm0VjvGAtjX7ziepYujlf8Ln42fou0+JlsOd82H3qei98lz0HP/BhVWfJAWk/beubHKM2K0tZVCjxS8NHWFdPA2rv7/i6X17V8ak+/1tm7bp0x4rMsdcWvldc7emWKZevQ28XEqEVBhhAtxMzaga8AOwP3Azeb2WXu/ufhLZkQQlSkrbN3eleduEcA0/N8b1oyv8H6Ali6IL70vmy5lJblLYSlC3t/Fz8bv3lez8J48L5ILcdKQUhHLFtHttzeIL+9tG2A9T6prUFeo+1ty+eRftuK5bbStpRo6yuD9d1mA+Qvl2cNtlvvtkKebLlhfuk/+Xazvr8vZFnPMFVGQYYQrWVr4C53/zuAmV0AvB5QkCGEGN2YxUhBexcweXjK4A6+pDfg6MmCj6ULIwgqkhfLixrkL4KlS5Kuxb2/+fKy355eWV+S/S//TXKF7JJFSb74b0+D9R5gafa/nt7lPttfwOiRyMiDkMGsp+Uif0AZBvgPff+3rFhZ3gaHwNxPrdju1YCCDCFay9rAP7P1+4FtcgEzezfwboB1123yVhohhBD1YcayaU+MH+7SDA3ugGfBx9LSb1ouApLl1kvyeNruvdtz2WWBTb69LOv0BkipfMtkvK+NPvY8+3+jbQ3WB7vcVJZBrDdYLmTK8svyGsmxvGyjbZM3YzhRkCHEMOPuZwJnAsybN8+biAshhBArTp+pRp3DXRoxgtGrGYRoLQ8AM7L1dVKeEEIIIcSIRUGGEK3lZmBDM1vPzLqANwOXDXOZhBBCCCFaiqZLCdFC3H2JmR0OXE28wvYsd//TMBdLCCGEEKKlKMgQosW4+5XAlcNdDiGEEEKIoULTpYQQQgghhBC1oiBDCCGEEEIIUSsKMoQQQgghhBC1oiBDCCGEEEIIUSsKMoQQQgghhBC1oiBDCCGEEEIIUSsKMoQQQgghhBC1oiBDCCGEEEIIUSsKMoQQQgghhBC1Yu4+3GUQQiTM7BHgviEwNQ14dBjkZFu2V0adsi3bq7JO2ZbtOmRXlJnuvkbDLe6upKQ0yhLwu+GQk23ZXhl1yrZsr8o6ZVu265BtRdJ0KSGEEEIIIUStKMgQQgghhBBC1IqCDCFGJ2cOk5xsy/bKqFO2ZXtV1inbsl2HbO3owW8hhBBCCCFErWgkQwghhBBCCFErCjKEEEIIIYQQtaIgQwhRO2Zmg5CtVA9V1VlFbjDlS/JVy7hK1KmDOJa1+mYwugZ5Dg0oW2f5Wk2VYz7YY9SK83IkXRMtqq8q73fdx2g4bbeCVpznzWSza2zIj89IqgNX+pNLCNEazOy/zGxWKW+5isjM3m9m21fQ9ykz+xiAN3nYy8xmmNkOSXbpAHLtRRkH0mlmnWY2u4rtXGagitfMOsxsgwplHGtmc3K5/vSa2QZmNq1Z+er2TZKt5J+6fbMCjKuq08xWbyZrZu0VdW1sZhOrFNDM9jCzzUp5jfxzmJntU0Fft5ltBAMf84wxSXbA89jMXjQInZUwszWb6TSzNjObWUFu9UE02rcp9qeJ3FvNbF4FuY+a2XtSGZvVV1MKnRWu8Wm5XBO9tfqnim+SXK3+qeqbJFurfwbjm7Stqn/GVtXZAoalDmwJw/mRDiUlpeFJwAzgRmD1BtssW54J/BnYLN8GtJf+szZwP/Br4MCU19aP7ZnADcBvgX8Aa/Qjty7wA+C7SfYDwDoNyjgL+DFwBfAH4F3EF0gb6ZwK7AOs3eT4rANckvT+CfiPAcp4BfAT4I78eOZlTOvTgWeADwOvAlbrR65W3wzGP3X7Jq1PSPtujXSVjs+XgK+m33UHkF0LOIt4c8ppQGe2ra203/8E9mxie93kw0kNtrWV1mcBNwMbVTiH/gV8B1hrgGM+A7gc+BHwPaAr21a+ztYCvgKcCFwG/Fc/+z0DuAg4N10T+zbSCUwGtm603/2cQ+cC56eyzunH3+uk/fgecW2M78f2WsSXiA9K/1nuvC355+fAlAbbcp0zgVuBTSrsy0PE9b1df77JdF4H/Ar4PTBxAH+fl87f24D9BziHavVPVd+0wj9VfdMK/1T1zWD8k2x/g6hXrgBe249cpXptMLIMYx3YqqSRDCFGJ6cA33X3x1Lv+l5mdo6ZvdxTzZR4P3CRu//ZzOYCnzazq4BDSj1XpxIV3fHAfma2lfffU/Qp4BJ335pogO1rZj8ws9eX5D4N/Nrd9we+CHwCOMnM5pXK+BngBnffA/gYsDNwqplt18D2+cDRwDvNbHczm1BsMLP29GvAZ4ngYg/gdOAdmVw+lH0icJO770zcEHcws882KCPAv4kb4cuAA9J+bw4cZGZdmVzdvoHq/qnbNwA/JAKSPcxsSr6h6CVNx/ILQA9wJfAssHu5cFlv4qlEA+i7QDewiZm90cxmlvZrGtEr+EUz+4mZvTTp2aKk+gTgJ+7+tJlNN7MtzOx9ZjarwXH6CPADd/9b8s8BZna+mW1dkjuRaNTcD5xvZmv3c8xPIs6LtwEPAK8ws5PMbCN37ynJfh54imhY/Aq4NPmnXM7PAn8D3gecDHzQzK40s01KOi8mzov9zOwl+XlYuh4APkcETZ9MtveBvj2oSfbkZPtw4B5gnpkdZWYblmz3AI8BBxK+383MJprZbg16z08CLnX3J81sXTPbrp9j9EHi/L3DzDY1syPM7PIG5+8pwBlp/z9pZus3qa+udvdXEg3aXczsbDPbpiR3MnCnux+adJ9tZhenMpZ11+2fqr4pylmnf6r6Bur3T1XfFPtdxT9fBJ4AvkUEYl81s582KEPVem0wssNZB7aG4YhslJSUhi8BGwMLgHen9UuIG8VpxI3qA5nsPsDpafka4N1Ez9YFwOdT/jzgl9l/Pgn8H7BzWs97x6YSFeguaf0u4kZxPNEjfmLKX43o3f2P7L//SzSu7gB2THljid6cd5X28TDiBnpQljcTuB54MzGa8CXgOOCVWdmmAHOAG7P/vYjoud41rU8npprOIYKbQu7epPOTREBxTINj/5Zke5d0vG8FfgNMa4VvBuOfdMxr803K3wz4HdG4uIboodsGmJAd8zait/Z32f92SDZnp/XJ9I7UbE0EOGTlvIi4Qf8F2K10zN9JjBwdSjSu/gz8ONu+FfAg8PK0fh4RYH0LuL04HmlbG/DfwJFp/efAR4nG//3AcSl/+9K58VXg6/SOXrWl37WJRuGktP5X4JtEYPsUfc/ftZJs8d9uorF6FtEYm57yJwGXks7X7P8fB+4Ddk/rs4mRrfck350O7Jcd86mZra2AmzNdc4ge+K3T+urp2GxF32vnHuBsohH8LPCOUpneAewPvIk49/4IXF+SmUM0+vZM6xcSjcRvpPy3ZrLvo/c8/RlwBPAh4CbgMyl/W+BX2X++QIxibd6gvlqTaLwW2+4E/odo4D0IfDCrI64j63kmGqvnEgHknCy/Vv9U9U3mx9r8Mxjf1O2f7JgP6JvB+Ccdq2U6M9kTiBHeeYOp11aVOrCVadgbPEpKSkObUmW1L3HTuoO+DdCtU35RQU4hGl1HE73rhdxE4ka5DvAK4KUlG0cQDeNGQ9zvJHpfzgduyfLXThVl0RA7NN0wdiAazzek/LcC703LBvwH0SDchr5D/9umSreomMcAG6flLmBPonfrC8SN9F7gvcCGxE21IzsO7wE+npavT2WYBcxNeS8BvpjZnpeOY3FDLMqwOvDt9N/ZwMNEIPFZYtrBVKIhcUYF36xGNIb79U1a/0/gZVX8k47zhRV8cxjRMGnmm/XpDWamEDfrnxEN9WlE4+ENwE7A0Umu2L+vAQek5XPoDSx3BHZKyzsBF2flPJQU3GXHfgfg8sxPTwB3EwFmB3H+np7KdCFwbabv/WSBXcrbkggYXg18LcvfNOV3EaMS+VSmDYjg7+MlXW3E9Kf/IQLUP2bbdiSCF8uO51nA8dm+X5t0fI2sYQHslfStWbK3L/Cx7FwsGqLjiQbgecQIzDZEg/LAtH0r4JCSfz4BHJGWLwVeD8wFXpHyXgF8M7O9B3BCqTwbEz28E9Pxe5RozH2S3nNtg+SrU4ig7mfZ//cEPp2tr0vUBW8GvpXlTyfqnMnAbsCrsm1dxLl8Sj/15UeSX88Cbsvy5xABYXda/wwRKMwgzumfZ/9/U6ke2Is45wbyzxpV/EOMjB6Szo9+fZOdu9s280+mZ5OB/EPUlccR9fSAvsn8c3YT/7y2qn+IAP/MZr5JeSekcg/on3ScT21g61jg0OycbFqvpe0rfR3Y6LyvKw17g0dJSWnoE9G4Wo9obOY90vsA16XloqJ7HdHovTVVSi8mpiT9voHe4ia6NtHbfROp9yjbNp24mc5Lel+W8ncBfpPpmkk0wM4lesqL3rJ3Ad8r2T0a+H7aNoe4Kb+erKHcz3GYkfbvOuC3A8htRdzIXgdc1WD7OLL5wMAbi+PYQHZHYtThm8S0ownAYSWZtYAj+/NNlrcz0QBq6pskX9x0lvNPyp+U9nHrJr6ZRjSMv13BN+U5+1sSDeC76BvIdJfK+JZ0fF5J1ngp6ZpOCqbS+juJ6RhlufekfSimds0Gzsq2TyUCywtII1sp/yCyG3hxXaRy/Z5oWBUNwd3Jeolz+fQ7lzQiROrFTPkbE0Hm/sDnsvx9y/tNNBBuJHqqvwO8LTv/TyU1NIkG6tdT+d5QnJtE4y7vJe7M/ZPKcmTat5tLtieU1l+T/LgjfQOz4jqfRN9nlPYn9Z6WbO5FnNtfJhqB01k+GJlENJROpe81cQAxTdFIjSViGtClxLm9H1EX9HtNpP/MJkaJLiI9h5TtxwZEA7PY3yL4eS3R4C7kNiWuqR8TDd83ZeU5s2RvMhFk/GIg/zQoZ0P/kD3HM5BvGpRhWiP/lOT2Hsg/ROfNK4lzeDnf9HMtVvJPdmyX80/Kn5GOx86NfFPStQERMF01kH/S/l1BBHE7ZfnvAK4cwDcN67Xy+T6QLMNYB7Yq6YvfQoxi0hxfd/fFaf0W4Fh3v64ktxVRcU8mGktPA19295+n7eYNKhMzOwP4X3f/az/2DyEaDw8SFeBR7v6zkswa7v5IWu4ghnsPS2WZADzk7peb2a7A21PZZhE3r08AvyQa/RPSth8Ci6HP23nmJ5kp6X9PEfOMF6XtnUQDcUOih27NJPd0kluYldeI6VXHETfGNybZ55Ltcel3NtHAX5L075PkniBuwu3A0pJvjid6oMcDT7j795NvXkc0xJb5hphqsW+y9wzxHMGiBv45nWi8Tkx+uDqVqeybY4jgYiLwD3e/uh/fvJcI2nYDlhA9kb9098dLtucTgeDY5I9OooH1eNq+HvFw83iisf8roiG/mJgq9ItcZ5rb/CuiN3lMsj0+laWb6D2cRjyEvTiVd/ckt4Q4TxYTp0VP0nkj0Vv6C2BXYr70kqRrHtEAeJh4luJVyfYEYFEqw/Xu/kRWxnnEdLkjicC1J/nmD+7+rJmdRzQaziR6Oo9KtndLsk+4+41m9mLivC/O378Bh7v7NaVj/BZiNOauVO4tiSldP03b2929p5jnnel7juj9vjY/vp7N9U5zy29Ix/RN7n59oZM4bz2TNaJR+aHi+k7n/BKid/vHxDW1prsvoR+SzfnZdXkzMbJTrq+2JxqFC+h96PakrIydxXWV/Wd1ogH23+5+Xz/2TyKCieuJ0YMjGtRX67n7Pdl+30n0Lv+UaPR3A/e4+5/M7ACiLsv9czwRNHURIwe/JQLHnpJ/9k5yncAjRJ2Duy8t+4Y4t19DdC49TnQY5L4s/PORZKuLqId+Q+/LLZb5J/l4pyT3oLvfko7fs0VdWPiGCHR3zGT/YGY7EqOeuX9OSfvSkWzfmPbP3d0z/xQN5DHAXe7+l1T+E8u+Ia6dHZPsHe5+p5nNdve7Sv45nKgruojOprvN7H3EtXoLEXDsQ1y3k1IZ73L335lZR37OpnrtdWm/V+o6kCFAQYYQowQzO42oaD6cN3zStk6iEbUtUSn1JzedaCxPJG4gfeSKYKO4iRc33Ca2DyHmAz9CNOD709lN9EbtQkzT2gj4O1GBn+vuNyX5LYggocvj4dzPZ7LtxNSiG5NsO9EI358IIBrKJdn3A5unsvanbyxx89/C3Y9vYnsTjwcgxxBD6IVcJ/DtTK6DuFm9Ih2b/vZ7TWA+0eP8rya2O1JjYRZxg+3P9sHJ3/8mbm6FXDdwTma7i7jx7+zupyV/b0A8OPpY2vZDdz8ryc9Nx2lqE7mLiUbGvhV0fiT58OkGcmcRzzuYx4PyxfMMhdyTxMjexe5+bubvue7+rpLtp4gg9swU3G6fbDrRi9hvGZPe7YjAs2z7PHe/yMyKxtbv3P38ku2niRG+S9z9nKRvT2L6TBvxhpljKWFmuxHXlxONpT5yWbDRRlxb+7n7583s5P5k0/LniMbnAwPoHEM0kDZP5V+ujGY2CVjP3W8zszHuvqAf20Vd0E5cs/OIc76//d6SaFR3pzL0V8bid6vUCF7OdvafjyWbdxPXZFlnW2rodyW/bO/uJ6TrcRNgKfH8zinu/o/0n12JgMKJ3utC7l7i+apCbpl/iIZ5Q7ncN+7+9pLtss5u4ODkn+cbySX/zHL327P6qpD7B/DZUhkPIJ5fOLJk+5/EVKRCNvfPewba73RMtySCk/70fTTtw93ufmmTY174Zzt666GlRCB0eHYc30gEQ88S96dC7j53/4CZTXD3Z5PsXGBvd//UqlAHetY51jK8xUMlSkpKw5+IRtGjxPzPP5Hmlmbb82HpgeQ6K+rrqmp7EGUshpA3BP6SltvofaCu0StfG8leDUyuoDOXK3oWtxhILsvvHkBn8ZB3RxXbmd7N+pGbWuTVuN9TB3McS7LTgb9nx20GMSXmW0TPYDfRiF6niZwlXdMq6DTiZj27gdzexHzmD9M7HaGRvr0zfe3EnPNJA8ieR/Zwf4Uyjmti+zxiJC/3T7NydhBB8mZE7+9NxAsCDu7nGps9kBx9r9tmsm3J9pbNbCd/z2mir3sQti3t++bNylhRX2Xbgyhj4cN2Ijj/c1ofQ0wxvLA4J7L/NJI7v/ALvfX0gHIpfwIx2ltFtpsYBS3LXUDveds2gO0LSvq6iN75/mQHu9/NbI9t4J+m5UzbNiVGEov164hr8TRietjYlL9xA7lziWmjJxMPl3emtNLXgUOVhr3xo6Sk1PpEjFAcnJZ3IKbS3EDvG5NOTPnN5E4g5r9WkhuE7So6TySG6A8kpmDl+/dDep8fOIbeefKVZCvIHUc0pprJHUt6CL6C7NHAy6vqrKiv6n4fXXG/j60odwy9b15pJ94us3MmO4bo9b0Y2KaC3CWk+d3EjbKZzm2b6Nw2yW1dsYzbVrT9/Yr7U9X2D0gPTlfUWTxkvTvpAXVi1OtvxHM6/5nyjkx+rCI3r6LODxAN0ypyW1aQO4LeN3w1kz2KmG5W134fQd9na5rZrqLzKHqvjyPIrp/kw5+SvrVCjIBtWlFu4wpyhxAjQ1VsH0z0ejeTO7Ci7YOBDQax35vUKHcQ6RscFWWLB9eLt4TtQIyObEXcky4AXpPdA/qT+24ht6rUgUOVhr3xo6SkNDSJeBg07+0+jJhregPxKsO2Vsi1yPbMouJN658h5j3PIl4XmOuoJFu33Ci3/TbiVYqfpu8ozweBLwxWrhU6R6DtFxe+ybY/TMzpvzfzYyW5VugcxbYNWD8tF9fPV4n5+BsQD3Jb3XKyXVm22P4q+r6C+xj6XmOV5FaCuqCyzlanYW/4KCkpDW0i+zJoWl9EektNK+Xq0Mnyr1wtKv1XE1Omfgm8PeVVkq1bbjTbLsnNId4Odm26uc0ggpEDV0SuFTpHgm1Y7s015WtnCXHtVJJLy7XqHK22+9FZTJN8M/GGsJ8QD6nXKifblXT295X3Iji8nHgGpJLcYK7bFZFrlc5WpiEzpKSktPIl4sHJHw61XIts3072gaI6ZOuWG222ibd1bUe8IeVsSq8mHaxcK3SONNul/2xPvC2sFrlW6BzFticSDyP/YijlZLuxLMsHJkfR4DXkVeWy7St9PdTKNKTGlJSUhjbRd+i46M3Zmt4Pa72ImKJUq9wQ235XWt6V3jndlWTrlpPt6N3LZF9C77M5YwYj1wqdI9h2Po1tLrBXWp5FPFxaSa4VOker7SY6907LB7H8dfaC5WT7Benci3gwew/imqskl/LzqXMDXbeV5FqlcyjTsDeClJSUWpeIN3y0l/J+CryulXJDbHvPQdjes5Vyo9z26g1kfwbsnpZtMHKt0DmKbO9S0Td95Fqhc7TabiK7ayvlZPsF6VzRc60zW+4oyS67bqvKtUrnUKcOhBAjDjPbmHgbxhLgITM7w90ftvgY2IPu/qNWyA2T7csGYfuyVsiNctubER+Oe4KYinBSyp8LLHT3K5PopmbWVM7dvW6do9D2NRV9s+zjfVVl65YbabYryl7VCjnZrkXnivh7c+AmMzvO3b/m6eN8qb7Mr9vNqsiluqB2nQwD+hifECMQM7uG6MW4h5iT+Qd3/39pW7e7L7T4yNuVdcp5fOBNtkeX7SuIL+veRXwV/gziA21/dPd703/aiXnBTeU8PopWq07Zlu2hsj3S9ke2K9neAfgmMb0RYqrvtRZf7H7A3RclndtVkWuVToYDH4bhEyUlpdYlYo7oDdn69sQbJqan9enER7RqlZPtUWv72kz2XuAi4psm1wCvGoxcK3TKtmwPle2Rtj+y3dx2JrM/8WrcvYEHiBGQy1dUrlU6hzoNewGUlJTqTcTHeY5My8UXun8A7JuWv0N83K1WOdketbaLj0DtB1yYlicSX8s9cjByrdAp27I9VLZH2v7IdnPbWRl2AH6cljcCHgGeAs6i70PZleRapXOoUzG8IoQYAZjZbOKbEj83s83cfXHadBWwvpm9AVgNeLpOOXe/RbZHpe2lwNMW84cvAg4AcPdngCeBl1SVg2Xnb206ZVu2h8r2SNsf2a5keyMz28nMNgX+CvzIzHYBTgA+StSpDwEbVJHzmCZVu06GET2TIcQIwczWJnqcnwbuAxYSD6ydQ1SalxNvCzoMOLVGuX2Jile2R5/tJ5PMImLu8iXufo+ZrUEEJh8iphg0kzsIeLRmnbIt20Nle6Ttj2xXs30JUV8+SIwcrE58pPQxd98Clt2Xm8oNRnYwOocbBRlCjBDM7DRgvrt/2OLtQBsD2wBdwJeJaS4PEr0gtcm5+5tkW7aTbEeSPRSYSgQqTeXc/b1165Rt2R4q2yNtf2R7hWxvmuS7gMvc/TYzG0N03DSVc/cFrdDJcOPDOFdLSUmpvgS8FTijlDcXOBP4UFrvrltOtmW7JPtxiHe3V5VrhU7Zlu2hsj3S9ke2V9j2S4GvAydneZXkWqVzuNOwF0BJSameRPTEXJEqmq2z/MnAdfR+hbZWOdmW7ZLstcCMwci1Qqdsy/ZQ2R5p+yPbL9j2VcCswci1SudwJ02XEmIEYWYvBt5GvGHiIeBCYH3gVHffpFVysi3bK6NO2ZbtobI90vZHtkfGOTTsDHeUo6SkVG8ivnWwA/Ap4E5iqPc1rZaTbdleGXXKtmzr/JXtVcV2q3QOV9JIhhAjGDNrI96TvXgo5WRbtldGnbIt26uyTtkeXbZbpXMoUZAhhBBCCCGEqBV9jE8IIYQQQghRKwoyhBBCCCGEELWiIEMIIYQQQghRKwoyhBBCCCGEELWiIEMIIYRYBTGzHjO71cz+ZGa3mdkx6S0zA/1nlpntP1RlFEKMXhRkCCGEEKsmz7v7lu6+ObAzsBvwiSb/mQUoyBBCtBy9wlYIIYRYBTGzZ919Qra+PnAzMA2YCZwHjE+bD3f3X5vZTcCmwD3AOcCXgFOAVwPdwFfc/etDthNCiBGLggwhhBBiFaQcZKS8J4GNgWeApe6+wMw2BM5393lm9mrgWHd/bZJ/N/Aidz/BzLqBG4B93f2eId0ZIcSIo2O4CyCEEEKI2ukETjezLYEeYKN+easHvwAAAQ5JREFU5HYB5prZPml9MrAhMdIhhBArjIIMIYQQYgSQpkv1AP8mns14GNiCeP5yQX9/A97v7lcPSSGFEKMGPfgthBBCrOKY2RrA14DTPeZBTwb+5e5LgbcB7Un0GWBi9tergfeZWWfSs5GZjUcIIV4gGskQQgghVk3GmtmtxNSoJcSD3l9I274KXGJmbweuAp5L+bcDPWZ2G3A2cBrxxqlbzMyAR4C9hmoHhBAjFz34LYQQQgghhKgVTZcSQgghhBBC1IqCDCGEEEIIIUStKMgQQgghhBBC1IqCDCGEEEIIIUStKMgQQgghhBBC1IqCDCGEEEIIIUStKMgQQgghhBBC1IqCDCGEEEIIIUSt/H/3plmmpPmCkwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "NotHubei = get_China_exclude_province(China_df, \"Hubei Province\")\n",
    "\n",
    "Dynamic_SEIR2 = Train_Dynamic_SEIR(epoch = 10000, data = NotHubei, \n",
    "                 population = 1300000000, rateAl = 1/7, rateIR=1/14)\n",
    "\n",
    "estimation_df = Dynamic_SEIR2.train() \n",
    "est_beta = Dynamic_SEIR2.rateSI\n",
    "est_alpha = Dynamic_SEIR2.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR2.numIndividuals\n",
    "\n",
    "# Draw fitted result\n",
    "Dynamic_SEIR2.plot_fitted_beta_R0(NotHubei)\n",
    "Dynamic_SEIR2.plot_fitted_result(NotHubei)\n",
    "\n",
    "## use the last observation as the initial point in the new SEIR model\n",
    "I0 = list(NotHubei['I'])[-1]\n",
    "R0 = list(NotHubei['R'])[-1]\n",
    "E0 = list(NotHubei['E'])[-1]*4*(1/4) # suppose 1/4 of Suspected cases now are not in Hubei\n",
    "S0 = population - I0 - E0 - E0\n",
    "\n",
    "seir_new2 = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b)\n",
    "result = seir_new2.run(death_rate = 0.2) # assume death rate is 0.2\n",
    "seir_new2.plot_noSuscep('Dynamic SEIR for China Ex-Hubei', 'population', 'Date', starting_point = China_total['date'].max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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